no dont force anyone to do anything thats not good practice.
im all for something like
If you played fireteam then u get a token thats says you get to skip to the front of the queue. so all those will be position1 in the queue and all those that didnt play fireteam last round are2nd in line. so it matchmakes out of pool 1, then once they have playedas pred they lose that token untill they play as fireteam again.
The matchmake then choses players from pool1 first and pool2 next.
Then to keep your priority you would have to play alternating fireteam, pred, fireteam pred, etc etc . you would still be in the same pool as everyone else who has played fireteam last so you wont instantly get it, but you are in front of those in pool2 who didnt play fireteam last.