TBH, no, they would still farm coop, which is why we would have to do something ridiculous like 5 Random and 50 Coop. Because I can farm out 15 coop battles almost in the time it would take me to play a couple randoms.
This is what I mean that we would have to put the numbers so significantly higher. Remember, we see all the data from all players globally, so we see what we all do when events are going down. Yes there are some that will not want to do things in coop and stick to random, but you're back to the whole, such a small population that it doesn't change the meta much.
-Hapa