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I'm not sure the different splinter thing would make sense with this idea, as to improve the chances of a win you need to be able to choose which counter team you use.

I don't know that anything would need to change per se, just for example if I choose the Fire Splinter, I'll only be paired with one if the other splinters. It would help highlight other card options for when you are not playing your "preferred" splinter such as when doing quests. Just not sure how it would work for the Dragon Splinter given that it can also summon from other splinters.

OK, that sounds better and would a be a better idea than having to run daily quests that obviously get you to play the splinters you rarely play.