GMs that insist on not having 'game terms' leak into roleplaying

[Sayt]

Thats a mighty fine Stormwind Fallacy ya got there. Ain't seen one that big in months.

Isn't the Stormwind Fallacy when someone argues there is a strict delineation between 'role'players and 'roll'players, and that the two are a strict dichotomy, rather than acknowleding that these are two unlinked values? I mean, there patently are people who only care about mechanics and people who only care about RP (I have friends in both campa) but there are also people who care about both to various degrees.

Also, out of curioisity, are you aware of the fallacy fallacy?