After listening to the single quite a few (and already too many) times I'm more and more getting the impression that this song was just recorded by Jon, John Shanks and maybe Bobby.
David is nowhere to be found...the keyboard licks are that simple even I could play them (and that's saying a lot), the drums sound programmed and not like Tico at all (in the single version at around 2:52 when the song goes back to the chorus - that's in my opinion not the way Tico would be drumming in such a situation). Richie shines as much as Dave on the record - the solo could be easily from Bobby or Jon. And even the backing vocals - that's Jon backing himself up, again no sign of another band member.
Either really no one appeared for the recording of this song (for good reasons) or Shanks finally managed it to produce the shit that much out of the song that you can't recognize any band member anymore.