A paddle controller for the Atari 2600 had a hard stop, so that it could only make one revolution (or a bit less) in each direction. Therefore, you could use it with Tennis or Pong or whatever else just had you going back-and-forth.

https://en.wikipedia.org/wiki/Paddle_(game_controller)

A driving controller spun freely in both directions without stopping its motion. This was not analogous to the steering wheel of a car, but it did permit driving games to be relatively free-wheeling, and you could spin the car's wheels endlessly in either direction.

In my experience, paddle controllers were more compatible with more games, but if you had a diverse library, it behooved you to keep driving controllers on-hand for that eventuality. Other unique controllers included the BASIC Programming pads, and one of those space games which had some really intricate controls on the dash.

The "driving" controller class was the type that was supported by Tempest. Analogous to the arcade controller, you could spin indefinitely in either direction without having the physical tab to stop the motion. This definitely contributed to the fun and suspense of the gameplay!