I'm a new Mooney F owner too, so I'm no authority, but I do have a couple hundred hours in a Piper Arrow IV that has pretty much the same engine. I have found that "warm" and "hot" are relative terms and the engine, being air cooled, cool off a lot quicker than we sometimes think. I'm not sure exactly what the time is, but at some point sooner than I think, the cold start proceedure works just fine. Today for the first time, I "hot" restarted my Mooney after refueling. I just primed it a little less (3 seconds vs. 5) than usual and it worked OK. Not great, not bad, just OK. So I'm still working on it too.
My big question is, how do I get my Mooney to start without a bang! So far, mine (I've only started it five times so far!) goes a few blades and then BANG! it goes, but not without sounding like it's trying to break the engine mount. It's a pretty violent start. Should I try priming it a bit more?