Jokes aside, I really don't expect any more than the Bounty Hunter support ship simply being a contact to hand in bounties, or the Miner version providing a commodity market, etc.
TLDR: These are just indications for what station services are available.
On the other hand, that would be very weird. Why would there be a commodity market on your personal fleet carrier? It's not a mobile shopping mall... Same for bounties or bonds... Those things wold seem very out of place in a personal fleet carrier.