Something weird I've noticed is that at least a few recent video games show the characters keeping their finger of the trigger most of the time. The two that come to mind are Payday 2, and of all games GTA V. I don't know why game designers have suddenly decided to show proper trigger safety, but it's interesting to see them get details right sometimes. Now if they'd tell me how a sawed off Remington 870 can hold 10 shells... (Locomotive shotgun from Payday 2 when upgraded.)
The internet has started becoming more and more vocal and influential when it comes to game design, and the gun guys are there too. IMFDB not only catalogs the firearms used in visual media, it also tends to point out every single mistake or lazy artist they can find. The site is not only huge (and includes contributors in the film industry), it's been covered by news publications for its prominence.
Basically, any company that makes mistakes with its gun handling is going to get loudly lambasted to the moon and back by thousands of customers. Meanwhile, games that make an effort to show proper handling and add realistic details tend to be loudly praised by the shooters in the gaming community.