clearstream
(He, Him)
I don't believe that Barb does draw fire better. I mean, this really relies on whether we think halving damage is less noticeable than not being hit, but also, BS uses Booming Blade so they take damage if they move. That sounds like a wash to me.The second confound (as far as tanking anyway), the BS is so hard to hit that the HGs, even with their limited INT, will realize after the first or seconf round, (assuming they didn't get lucky and splat the BS) that they should target the rest of the party Instead. This is much less likely with the barbarian or the champion because, on them, their blows are having a visible effect.
So initial analysis, the BS will do well for himself barring bad luck, but I still maintain the barb is a better tank because they will draw fire MUCH better.
They can't close with Archer or Rogue at all, unless the party has somehow met Giants in a tiny room. (I'm using an encounter from SKT, out in the open, and using the DM's Shield recommended dice rolls for starting distance.)
Their best bet is to go for the Cleric. This is also true with Barb as their damage is halved against Barb and Barb has nothing special to punish them for ignoring it and going for the Cleric. One option is Cleric casts Sanctuary... DC 15, their Wisdom save is -1. Doesn't take concentration so can be used with Warding Bond and Shield of Faith.