What does Dominate Mind do?
It has been some time since I've played KOTOR. While I don't have any concrete examples, I did some comparison between Affect Mind and Dominate Mind a few years back while trying to optimize my build. I did many playthroughs at the time and even made some fairly successful attempts at speedrunning the game. Here is generally what I found:
Affect Mind and Dominate Mind both unlock the same dialog options. I wasn't able to find any dialog that only appeared with Dominate Mind.
Affect Mind works by chance, while Dominate Mind either works or it doesn't. It appeared through my playthroughs that Affect Mind could sometimes fail, while the same options with Dominate Mind never failed.
Some dialog options may require Dominate Mind to succeed. There were a few times that I could never get it to work with Affect Mind, but Dominate Mind succeeded.
All-in-all I found it worth taking Dominate Mind because those extra dialog options can be rather useful.