This may be a moot point now.
Unfortunately, Liam Shaw shares the same status as Bob Saget (not the poster). On the bright side, in the fictional Trekverse, anyone can conceivably make a comeback, even from beyond. I guess there is still a glimmer of hope for Shaw's return.
But it seemed to me that, in PIC, the Shaw character served largely as a foil (not the aluminum kind), to Picard and Riker. Shaw was good in a supporting role.
Shaw's undiplomatic persona has good entertainment value, but I don't know if a Star Trek spaceship series would succeed with Captain Shaw as the lead character.
I do think that Shaw would be a good fit for an ensemble Starfleet Academy series, though. Send all the misbehaving cadets to Superintendent of Discipline Shaw's office. That might be fun to watch.