An effect you may be noticing is motion smoothing, or the lack of it.

If you play Pong on an old console, it likely moves the paddle at full speed the moment it gets input to move. There is no acceleration, not even a small one. This is very precise, but it also feels unnatural.

Modern versions will usually have some acceleration time that smooths out movement. It can be a very small effect, but it feels more natural and most people prefer it. It’s also less precise. People generally learn to compensate for it over time.