You have complete control over the devil reverse, and it has useful properties, like crossup, cancel, intentional whiff, and a.air. You control the special from start to finish.
Here are the controls for the headstomp: If you perform the headstomp and right before you hit the opp. you hold toward or away, that will determin the side of your opp. the skull diver comes from (this is important for crossup opportunities)!
The point at which you must strike your opp. in order to cause a cross-up is based on the hit boxes for that opp. stance at the time of your attempt (i.e. it all depends on the situation, check YBH). If the opp. blocks the stomp (opp. is in block stun) if you go to the other side and perform the skull diver quickly you will “crossup” your opp. IF THE OPP. is in hit stun, recovery animation, or invincibilty frames (this will require more experiments) the headstomp will float over the opp. Further investigaion of the previous sentence leads to the following generalization/theory:
If you cancel any P normal into the headstomp the direction reverts to the direction (for the first part ex. charge dn, up + tw + P) of the devil reverse even thought you input the headstomp command (charge dn, up + tw + K)!! I would like some confirmations on this; it’s hard to test by yourself.
I’d say it’s something to just be avoided since many ppl would punish a whiffed fierce psycho crusher. If you use any psycho crushers I would reccomend the jab version since it has 3 (as compared to 1 for the fierce psycho crusher) and use it sparingly. The game does pick a random winner like you said. There’s no sort of frame advantage/dis-advantage so it really doesn’t matter.