embee
Lawyer by day. Rules lawyer by night.
If they're saving against damage from the monster, absolutely. If the monster is trying to save against a player, that I roll.Ok, so it is really the same, just 10 points higher for each (you use attack bonus +22 instead of +12, and AC instead of AC - 10).
FWIW, just checking, but if you want to speed things up a bit more have players roll damage and attack together so they won't wait to roll damage. Some tables or players use it to also make combat faster. I've never been a big fan of it, but you can try it if you aren't already doing it.
Anyway, weather permitting we'll be playing Saturday and maybe give this a shot. I have thought about players always rolling (as I heard it termed, PAR) a while ago, and might go all the way with allowing them to roll damage.
Are you having them roll saving throws as well?
So if a Green Dragon uses its breath attack, players roll their saving throw. But if a player casts Lightning Bolt, I roll the DEX save for the monsters.
The +22 is, I think, easier because the player should always know their own AC. That's 4-6 different numbers that I, as DM, don't have to keep in my brain. And a player can do the simple addition of adding their AC to the d20 result in less than a second.