You really don't ever have to list Jumpseater...
I jumped on XJet for the first time a few weeks ago...same as jumping on Mesa, United, anybody...they just have a little form for you to fill out at the gate. BTW, don't know if it was just this Captain, but the guy closely scrutinized everything I had, even my CFI-ticket...weird - I've never had that done or seen it done before?!