Well, proper movement under fire doesn't need to be directed by the SL. The squad level bounding overwatch is not the same as movement under fire. When you're under fire, you aren't supposed to move a fire team at a time, both fire teams could be moving at the same time, but only one individual per team should be moving at any given time. One individual selects their next piece of cover, SPRINTS to it, drops, next person goes, if they can, everyone else should still be engaging during that time. But bounding can be in any direction, too, right. "Peeling" is just lateral bounding. Breaking contact usually involves retrograde bounding of some sort.
The community I used to run, we were bounding pretty regularly, in various situations. Normally, on first contact, no one was bounding until we had tenderized the contacts, and the incoming volume of fire had been significantly reduced, then one or two guys per squad would sprint to next cover, but again, only for the final sweep, because you can't really cover every piece of cover until you've already pounded them pretty good.
We did plenty of retrograde bounding, though. Our server difficulty was finely tuned, so we were forced to back out pretty commonly. Took a long time to get the guys used to the enemy being that way, but it was great when they realized we couldn't Rambo shit anymore, haha.