I don't see that for Davies.
Season 1: Two words--ontological paradox. Or "Bad Wolf", but it's the same thing. Moffat gets a lot of attention for all the time-split shenanigans these days (sometimes good, sometimes bad), but this was a good realization of the idea. The Soul of the Time Vortex/TARDIS (acting through Rose) sees the Bad Wolf phrase on the station, knows that Rose saw it throughout her travels and in the past as a message to open up the TARDIS, so she takes the words and spreads it across time and space so that Rose will see it throughout her travels so that she can open up the TARDIS so that the Soul of the Time Vortex/TARDIS will come to the station, save the Doctor, see the Bad Wolf phrase, and spread it across time and space so that Rose will see it....etc. It's a form of stable time-loop, being its own beginning and end and therefore resolved, even if it is with a literal handwave.
Season 4: In the Library episodes, Donna gets teleported into the mainframe, where she's made to forget everything about her life with the Doctor and goes on to have a happy life. In the Agatha Christie episode, A.C. (who the Doctor lauds as a woman with an acute perspective on fully-human matters) had a grandiose adventure with the Doctor but then found herself robbed of all memories of these events, yet still continued on with her life and even had small bits come out in some of her prose. This is Chekhov's gun for the big finale, where Donna (our all-too-human-perspective "Earth Girl" as foil for the Doctor's weird-alien "Space Man") loses all her memory of the Doctor and her adventure(s) with him but at least goes on to have a good life even with little bits of her Time-Lord consciousness leaking out later.
As for Moffat...
Well, unfortunately I can't defend (or even explain) much of what's going on. It does look to me like he's littered the landscape with a ton of scenes and dialogue that could all be used as Chekhov-gun hints for what's going to happen, but I actually see that as poor plotting--I don't know that he actually has a firm plan in mind, but because he's got all this random junk strewn about he could cobble together just about anything for a grand finale and *claim* that it's something that he'd been building to all this time. An easy example: in the Pandorica Opens, the Van Gogh painting sets everything in motion, but it only comes to the Doctor's attention through River's actions. But at this point, Rory's been erased from history--presumably both past and future, so that he could never get Amy pregnant, which means that River should no longer exist. Furthermore, after the Big Bang 2 reboot, the Doctor and the cracks should no longer exist in the universe, which means that Rory and Amy won't be celebrating their honeymoon on the TARDIS, so again River shouldn't exist--or at least not in such a way that she'd be able to visit their wedding and drop off her book. All this suggests that Moffat really didn't have a complete idea of who River was during season 5; he dropped hints about her killing someone (easily guessed to be the Doctor himself), but apart from that and her previously-established flirting/out-of-sequence-ness with the Doctor there still wasn't anything more. I expect the entire storyline of her being the Ponds' daughter was entirely invented for season 6, though I honestly don't see why other than to add "domestic" drama to the TARDIS...which I simply don't care for, and obviously I'm not thrilled with the fact that it makes those previous adventures unresolvably complicated. All this on top of the plotline where River kills the Doctor as a fixed point against some future calamity around his name (which is even more convoluted reasoning).
And even the season 6 stuff isn't where it began...consider in season 5, after Rory gets crack-eaten: if Rory truly never existed, then the Doctor would not have been able to alert the Atraxi to all of Prisoner Zero's forms, which meant he had no way of getting the Atraxi to finally locate it, and thus the Earth would've been burned along with the Doctor and Amy. So either there's some other convoluted explanation for how the Eleventh Hour was resolved (which is never offered, of course), or the Crack doesn't operate in the way we've repeatedly been told it operates (an explanation for which is also never offered). Getting hung up on it is futile, because at this point it doesn't seem like Moffat has even the slightest inclination to really, fully, and coherently explain all this stuff. It still annoys me because I prefer my scifi (even those that lean heavily into semi-fantasy territory like Who frequently does) to at least attempt some consistency.
Anyway, as for Amy and the Crack...probably the best analogy I read for this is to think of Amy's mind as a USB drive for the computer that is the Universe. The exploding TARDIS caused the Universe to require a reboot, so the Doctor saved himself and all his adventures up to when he flew off in the Pandorica (and somehow the un-exploded TARDIS too) into young Amy's mind (the USB drive, password-protected with the Wedding Rhyme). The Universe rebooted, and when grown Amy thought of the Wedding Rhyme all the saved data (the Doctor and his adventures) was accessed and imported to the system. So up until the wedding reception, Amy and Rory are both flesh-and-blood humans (as they were at the beginning of the Eleventh Hour) with a full, ordinary life in the rebooted system (Amy now has a history where she grew up with her parents, even though apparently she has EXACTLY the same personality, because having parents is no different from having no parents, right?

). But when the Wedding Rhyme gets cued, the Doctor gets installed from the USB drive with his TARDIS, and somehow all the rest of that saved data gets imprinted onto Amy, Rory, and River so that Rory remembers being a 2000 year old plastic Roman (even though he's none of those things anymore), River's book is now full of adventures with the Doctor (getting past the idea that she shouldn't even exist without the Doctor in Amy and Rory's lives...), and Amy...is STILL the EXACT same person even though she now supposedly remembers two completely different personal histories. So...yeah, you can probably guess that I'm not thrilled with Amy. I like the actress and there's been good scenes and dialogue, but I never got a good sense of her as a person and the fact that she didn't change one bit even with a drastic alteration to her personal history didn't help.
So far, I'm happier with Clara...not even considering her reincarnation-history, I felt that they did a better job establishing her character in the first two episodes with her attachment to the family she's living with and the flashbacks to her mother. It's both deepened the mystery (as it seems that she's just an ordinary girl despite the other incarnations) while also demonstrating who she is, what she cares about, and why she cares about it, which is more than I feel we ever got with Amy. I'm not sure what the payoff for Clara will be, but I'm still hoping it's good.