@darekpawlo No, transformation is solely determined by the individual hero. You can see examples of this back in the pool arc, when Tsubaki borrowed Jin's belt and still became Hawk Man, which makes sense, otherwise you could mass produce Rate 100 Heroes. Sen's belt is special though, since it allows users to use a special attack that they can't access otherwise.
Speaking of which, it seems my assumption a couple chapters ago was wrong. A hero's appearance isn't tied to genetics but personality, this is probably why Lady Frost's appearance kind of resembles Lady Blaze (they have similar coats). I wonder if this means a hero's appearance and powers could change if they had a big enough shift in personal beliefs.