An lj-user called corza_laura wrote this on the DW forum:
Did anyone else have to think of Twilight after watching "A Good Man Goes To War"?
After knowing that River is Amy's daughter and knowing that she and the doctor would fall in love one day, I couldn't help but think of Bella Swan, who's best friend Jacob fell in love with her baby! xD
And they listened to "Supermassive Black Hole" at the beginning of "Flesh". That's so Twilight!
To which I replied:
I've read the four Twilight books, and I disagree.
Renesmee was a kid, an infant, when she met Jacob, and the only reason she and Jacob are supposedly "meant for each other" is because he's magically linked to her. He didn't fall in love with her, he was linked to her against her will. River likes the Doctor out of her own free will. The baby Renesmee has no say in the matter, of course, even though there's a half-vampire suitor who'd also like to get to know her. Neither one of the boys want her for her. For Jacob, it was magic or something to that effect and the half-vampire kid only wants her because there are very few half-vampires out there. Sinking ships (in this case, Jacob/Bella) is usually done in a more sophisticated way, and that was probably the worst way I can think of.
The Doctor meets River when she's in her 40s. Yes, he hung out with her mom, but they were all of age when anything happened. Jacob on the other hand met Renesmee when she was a baby, took care of her as a baby (more than a little squicky), and will see her grow into an adult. There's a study about these type of relationships and why they usually don't work. If you grow up with someone as if they were a part of your family, the relationship is likely to never start. Maybe a better example would be on Angel when Cordelia and Angel took care of Angel's baby as an infant. The kid goes away and comes back as a teenager, Cordelia is possessed by a demon or whatevs and sleeps with the teenager. Not romantic.
Also, in your proposed scenario Amy=Bella Rory=Edward and the Doctor is Jacob.
Bella is a moody teenager who thinks everybody but Edward and his family are boring. Amy does start off as being a bit star struck like all companions but quickly starts to treat the Doctor like an actual friend and teases him, instead of spending an entire first volume on describing his beauty, his family's beauty and how everybody else is simply bland in comparison. While Bella sinks deeper and deeper into Edward's web and continues to ignore/string along Jacob for the entire course of the series starting from the second volume, Amy actually remembers that Rory is actually pretty special and eventually marries him. Bella realizes that she actually does love Jacob and tells him as much just to hurt him again, but goes back to Edward because let's face it, if a boy don't sparkle, he ain't getting any.
Rory as Edward is a lovely idea and while the TARDIS has called him pretty, there has been equally as many remarks from the Doctor and Amy to refute his claim as the supreme lord of sparkle. Twilight, however, spends the first novel praising Edward's good looks and graceful demeanor, and this way of describing him continues on in subsequent novels. Whereas Twilight goes to great lengths to depict Edward as "perfect", Rory has taken a long ride from negligible to a valued member of the team, as well as a husband and more recently, father. Twilight dismisses these "regular" guys, such as Mike Newton, completely, showing that only super-powered rich guys with stunning good looks and a perfect family deserve love.
The level of faultiness in terms of Doctor as Jacob really depends on how badly you ship Amy and the Doctor. If you think The Doctor loved Amy romantically, you might see him as Jacob solely on the basis of him "not getting the girl". If not, you really don't see the similarity there. Jacob is described as a hot head who acts before he thinks, while the Doctor, discounting his angry fits, is an intelligent alien who mostly uses his wit to solve problems (depending on the Doctor/situation, of course).
I'm not even going to bother with the unfortunate implications of the Twilight series when it comes to women, I'm sure you're well aware of them as a fan.