At the time, I think I was concerned that there would be some ambiguity if they were all labeled simply (skill). For example, Sharpshooter from PD:TH might reasonable be confused for a "skill" by someone in a hurry, so I fear that label wouldn't completely serve its purpose of disambiguation.
Those were just my personal thoughts when I created the pages; I'm not sure if others would agree. What do you think we should do?
I don't really know whether it's necessary to name each page (Skill) as it's pretty obvious in many cases and where necessary it is specified. However, I'd suggest that given that PD2 is the active Payday title, with easily the larger number of current players, it would be fair to drop (Payday 2) from Sharpshooter (Payday 2) and instead rename Sharpshooter as Sharpshooter (Payday: The Heist).
It might be worth considering a sort of "hierarchy" of pages in order to decide which page(s) should have the suffix added.
I agree that we should try to establish a better naming "hierarchy" but this would involve renaming a rather large number of pages and categories, so we should try to reach some sort of community consensus.