Each arena have a separate champion cool down - improvement or braking even more?

TheD00M

The new arena system requires a crazy amount of 5* & 6* champs as you know. Would it break the game if Kabam made changes so that champions have a separate cool down for each arena? This would require less champions but on the other hand might increase scores.

Maybe Kabam can make two rounds with this system after few rounds with the current system just to see if scores will be increased by a large amount or by a small amount.

What do you this? Would this make it easier to grind?