There are technologies like MTS (MIDI timestamping), where you basically send timestamped data early to the interface so that it can then play them out exactly (or more exactly) at the right time. This was initially made by MOTU but I think the implementation in Core MIDI is based on it.

Emagic and Steinberg also implementation of this (AMT in case of Emagic, LTB for Steinberg IIRC.

This only really works with recorded data of course. It's also very old already (like 25 years old), I'm not sure how well it is still supported in current DAWs.

With these technologies, timing should be as good or better as on an Atari.