Pretty sure I started playing with a medium tip many years ago. Then moved to soft tips because that seemed to be what a lot of people where using and I didn't have the opportunity to do a lot of testing experimenting on my own as I don't have a good local tip person, unfortunately. Played with those for a good while and that carried into a transition to playing carbon shafts, most of which seem to come stock with soft tips.
Then I got my South West Satin with very firm Triangle tips on the shafts and I took it out to play a few times and I really like the firmer feel and feedback of playing with that cue and once I adjusted a bit I felt like I had better speed control for positional play.
That let me to wanting to try a firmer tip on my carbon shafts so I went with a Kamui black medium and have stuck with that across various carbon shafts now. Definitely prefer the medium over the soft.
Haven't tried a hard tip on my carbon shafts yet, may still at some point, but for now I voted medium.