My own personal preference was Delta. I did not like the Moen for the reason you state - very difficult to move the single handle once the grease dissipated from the cartridge. The advantage however was the single cartridge to replace vs. the ball, seats, and springs with the Delta. But the Delta was always easy to turn on and off.
Now with my RA I cringe when I come upon a Moen single handle faucet - all but impossible for me to use.