It's been a while since I used the apple pc app. So, i just cracked it open and it seems like it has come a long way from when I ditched it.
Seems they have added things that were frustratingly missing before, like the ability to jump forward and back 30 sec, speed options, sleep timer, scrubbing etc.
So I can't say that there is a real UX difference now. But I like Overcast and my whole library is there, so I don't really have a need to move. Plus, I'm not going to say Apple "stole" these features, b/c they are pretty basic audio playback controls, but to be behind the curve on them to the point that I had to change doesn't make me super quick to say "yea...lets flock back now!"
From a playback experience, what I do remember is that there were times in the apple app, where I would stop a pc and then go back a few days later and it was at the beginning again. IDK if that's been fixed, so I can't compare. But I do know that was a main driver to me looking at other apps.