No. I’ve been able to down a monster or at least keep the team up long enough as a Med after the Assault goes down/dies to dish out damage to the HP of a monster. I can’t tell you how infuriating it is to have a player who can’t properly play Val let alone EMET.
An example comes to mind a little while ago, my group and I were playing a comp with EMET/Bucket. The medic failed spectacularly to spam his heal burst when the recharge was popped, which lead to unnecessary downs. What should have been an easy match was one of those “by the skin of our teeth” kind of matches.
Like I said, while they’re all important; Assault for Damage, Trapper for tracking, the core of the team is the Med/Support. Those two more often than not keep the team up long enough to drag out the dome to deal HP damage. If they go down, you can expect the team to follow suit pretty soon after that.