Reading it so far and it seems like the points thing is canon. So...does that mean our characters will be arguing if they should get points for a loss or not? XD
I think Rilla was hinting at a more abstract link between characters, up to each individual in how they explain away why their characters never fight each other (at least for the ranking.) and how they seem to have a general goal. There are plenty of ways to explain this away, though I suspect using your higher tier characters as a sort of 'fight master' who has control of the lower tiers would probably be the easiest way to do it.
Think of it this way, it's a chance to have characters you'd have never thought would meet or interact chat to eachother. I'm incredibly interested to know what the Clockwork Man would think of Fury.