I've never been vote-kicked out of a duty. I was, however, oddly kicked out of a Coil PF group a few nights ago. I'd joined the group as a SCH and after a few minutes of sitting around and waiting for more people to join, I was informed I had left the party. I'd been fiddling around with something at the time and thought I might have accidentally left the party, so I rejoined via PF. A few moments later, I was informed that I had left the party again. At that point I sent a tell to the leader asking whether I had been kicked (no response).

So, PSA, it's sort of nice to say something like "Sorry, got an FC mate incoming to fill a heal slot" or "Oops, we screwed up the PF" or "We're going to do EX primals instead" instead of just booting someone out of the party with no explanation.