Then again, we had the opposite situation with a candidate. Basically, we did our hiring rounds out of order, changed the position they were applying for, and our VP contacted them directly like 3 times after the interviews because we kept seeing weird stuff (had an SO out of state and was considering moving, then wanted to get a masters locally, etc). It worked out and we hired them, and it’s working out so far.
I guess my point is: hiring can be weird. We’ve had candidates skip the second round, repeat rounds, and we even flew one out without even making an offer. Run if the company seems sketchy, but if they’re just kinda weird, consider giving them a shot, some of our best hires had a wired hiring process.