I don't disagree with that concept. The environment and circumstances are still different, as is the mindset of the partcipant/defender which was my point.And they will be wearing different t shirts and other non essential differences.
So the differences are so far a crowd. And both participants wanted to fight?
In self defence (your cut and dried he is stealing my hand bag stuff ) I would suggest a mindset that is about forcing the other guy to not want fight. The "Not today" mindset that girl adopted when she was being raped.
The guys in that Russian gang fight. And from my own experience If you have to face down a bad guy you want to at least look like you want to be there.
In competition we call this the will game.
What is the mindset you are creating with this self defence rather than kick this guys bum difference? How does that lead to self defense success?