Super Saiyan2 tag

With the inclusion of SSJ2 tag on teen gohan, I imagine/assume then all super sayian forms will all each include their own tag, SSj3 and so fourth.
So my question is; being that I haven’t pulled Gohan and can’t test for myself:

Will Super Vegeta z ability(or future z abilities) which buff “super saiyan” buff Gohan SSJ2 as well? Or is his tag excluded from “super saiyan”