This isn't about the amount of special synths people have.
The timer needs to reset on a hard wipe. You know, when you wipe in a darkness zone and go back to the last checkpoint. Sitting around for 3-4 minutes waiting for a heavy to come off CD so you can have another legitimate go at a boss is really boring, as is going in with no rockets hoping for a drop, plus it's frustrating.
I just think having the timer reset on a hard wipe (again, whole fireteam dies in a darkness area and you go back to a checkpoint) would be a nice quality of life improvement.
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If we are in a situation where a teammate doesn't have any rockets and is waiting for the synth to become available we just got out add hunting. Not only does it keep you on point but you can also get enough heavy ammo to drop that you don't have to worry about waiting 5 more minutes for another synth to become available.