Turn-based combat doesn't need to be fast, but it still should flow well and especially be free of time-wasting annoyances.
Example of the latter: HEX, which is a very frequently cast spell. Streamlining the debuff compartment would save a little time every round...and a whole lot of annoyance.
+1 Well said.
Another example of speeding up combat in a good way.
In Solasta, Cleric of Mischief can add damage to a single hit per short rest via her Channel Divinity ability. EVERY time she hits, the game pops up a window asking me to apply the extra damage. The same is true for paladin smite.
BG3 cuts out this kind of thing, speeding up combat. Instead of asking me every time I hit whether I want to apply my Battlemaster maneuvers, I pick ahead of time whether I want to use a maneuver and if I hit the damage is auto-used because I chose beforehand to use it. If I miss, the maneuver is refunded back to me. This is a much better approach to the mechanics which speeds up combat and the flow while accomplishing the same thing as the pop-up. Having that pop-up every time the cleric hits severely cuts into the flow of combat and slows it down unnecessarily.