Thanks for the replies!
The way around this issue, the fact that some games have the branding and some don't (because this is how they are on GameFAQs) would be to call a community vote on the matter. Whether we should adhere to the name on GameFAQs no matter what, or omit corporate branding from titles altogether. If you think it is worth a shot, you can request such a thing here: https://vgcollect.com/forum/index.php/topic,8361.0.html
I think it may be worth a shot, I just might not be up for a task to make one right now. I saw the whole discussion about item names at the thread linked here:
https://vgcollect.com/forum/index.php/topic,8361.msg156632.html#msg156632 so at least it was acknowledged already. I don't think following any other service, be it GameFAQs or anything else blindly is a good idea either, especially as VGCollect is already established entity and as you said not all games are there anyway, though I get why it's there in the first place and at least it's something to start off with. Plus any change to this would require a poll definitely.
Currently item names lack uniform style which makes it hard for me to find different releases or editions and even things such as the usage of symbols such as colons et al are not standardized, I sometimes try to fix them when I see them, but I often don't know which way is the right way sadly.
Either way, thanks for all the work toward style guide! Even if all the quirks may not be explained yet, at least some things are now properly described with examples and stuff.