No, the faster you win the more medals you get and the more comms you get. Medals don't affect comms after the 8th medal.

In Voidstar, when you have a perfect defense and then cap the first door on offense, you are granted a 6-0 win. BUT, the game considers how long it took to cap that door. DId you do it in a minute? 140 comms for you. Did you do it in 5:30? 90 comms for you.