I’m pretty sure NetHack works that way (Perhaps the whole genre all the way back to the original Rogue, but nethack is the one that I’ve personally played)

Yes, of course, that's how they all work. A real time game wouldn't work over a tty.

I swear there was a real-time game I played over a tty long ago. An ascii shooter, maybe star trek or similar?

At first I thought snake did it, but now I think that might have been move-countermove.

It could on a reasonably good glass tty over a low-latency connection, just not on an old one over a high-latency connection.

Muds work over tty don’t they? I played a MUD for many years that was just as fast paced as Diablo

Does anyone recall how Ultima 1 works?

Can you be attacked while you are standing still or do you have to make a move to clock the game?

(I think the early Ultima games I've tried are 2 and 3, and I think enemies could attack you while you were standing still but I'm not entirely sure.)

I think 1 is strictly turn based and in 2 and 3 a turn happens automatically if you do nothing for a few seconds.

Crypt of the NecroDancer has a "you move only when time does" mechanic.

That’s a super hot idea.