I voted organic because I've always felt like that change from the original trilogy is one of the best deviations from source material on film, in my opinion. I just never understood, since I was a kid, if Spider-Man does whatever a spider can, why can't he make his own webs?
And it always has that risk of falling in line with a trope in media that always bugged me: the hero running out of ammo when he gets to the climax, even though he seemed to have an endless amount 99% of the time. "Oh no, I've been shooting endless rounds this whole time, but now that I'm at the about to fight the most important villain, NOW I'm out! How suspenseful this is!"
Plus, The Amazing Spider-Man movies did an extra bad job handling the web shooters, in my opinion, when they showed that Peter gets the material from Oscorp...the bad guys who were inexplicably behind everything. Wouldn't they be able to figure out that all those webs from the city are from their stuff? And from there, look for who keeps ordering that **** in bulk in New York like they're shopping at Costco?
HOWEVER...
Web shooters is the correct answer.
I want Stark to be impressed by Pete's brains, even if the prick won't admit it.
...this man is doing a hell of a job in trying to sway me. One of the strengths of the MCU, or at least The Avengers, is the chemistry between all these characters and how they're able to bounce off each other. For Civil War, I think it would be awesome if Tony Stark and Peter Parker develop a relationship where Stark sees a lot of himself in young Peter Parker, and web shooters WOULD be an excellent way to help set this up. Maybe Peter would even start to look at Stark as a mentor type. And when it comes to choosing sides, it will then make even more sense, at that point, why Peter choses to fight by Stark's side.