Should there be 'Rival' teamups?

The thought has occured to me a number of times that it could be an interesting spin to the game if certain teamup abilities were activated by having the needed character on the OTHER team.

Some current teamup abilities even already kinda make sense as 'Rival' abilities:

Venom out of his hatred gets his anchor buff when playing against Spiderman.

Spiderman in turn due to his history with the symbiote can channel it for his ability when Venom is in play.

I think it could lead to some interesting strategy regarding whether it's worth it to buff your enemy to gain an extra ability for your main etc.

Either way it would certainly add more to the 'Rivals' title if rivalry between character actually had gameplay mechanics to it.

What do you think? Would that be cool or dumb for future seasons?