There is one other advantage... sometimes.

If you have more power in the engine than the present 2-blade can turn into thrust, and you can't find or carve a wider bladed or more efficient 2-blade, and you can find a 3-blade that actually has more blade surface than the 2-blade and whose blades aren't less efficient individually and collectively, the 3-blade might help the engine get it's power to the ground.... uh get it's power to the air.

But working with what's available to our models, there seems to be little possiblity of all that working out. (Except for the carving deal.)

In WWII, the Corsair was improved when they went from a 3-blade to a 4-blade. I think they did the same with the P-47. But they weren't buying their stuff from the LHS.