Game title is “${black} vs ${white}”. The only other feasible way to get the players name in the title would direct challenges. This should be a very rare event.
It will be more difficult to extract handicap preferences from there.
Here is a OGS game dump: Can we get an SGF database dump? . As I understand it, the raw API results are stored in the archive.
Most games will go with the defaults. I have gotten the impression most don’t even know they can set their preferences.
BTW: New Zealand prefered with Fisher timing required, handicap enabled prefered.
Edit: I don’t think you need to identify the automatch games at all if you are interested in player preferences. Custom games will give an impression of what players with strong opinions prefer.