While being at it, there's more to my idea: A scenario I call the hostage trolling tactic (TM), which would be easily possible if a FC could do several jumps in a row without refueling.
You dock your casual ship with some small or mediocre jumprange at my FC and log out. We know this will be possible because it was already stated that I can control who is allowed to dock at my ship and that it is persistent.
I just waited for someone to dock and now decide to jump to a remote system that is 100 or so lightyears away from its neighbors. Then I hop into my Jumpaconda, the only ship that I stored in my FC, jumponium out, head back to the bubble and have fun, while you in your casual ship are left stranded with literally no way back home exept for FD intervention or my good will to come and bring you (and my FC) back whenever I feel like it. I mean some gankers went to sag A* just to troll people. So this seems like an easy tactic in comparison to me.
The thing is: if you blow someone up they face the rebuy screen and possibly have to train a new crewmember, but they are not helplessly cut off from compelling gameplay. Vicious stuff. Makes me wonder how careful we should be with docking at fleet carriers that don't belong to people we know, especially if we consider to log off.