OK, I tried Prince of Persia: Sands of Time, and the hell with it. It’s too twitchy for me.
And no, the sand mechanism doesn’t make up for the twitchiness, because it runs out too fast.
(Making death require substantial replays is a cheesy remnant of the video arcade era, when killing the player made them cough up another quarter. It’s just annoying now, game developers, stop it.)