Yikes, good job I came across this:
"Pilots who lost their ship will redeploy at the last Station, Surface Port, or Fleet Carrier that they docked at; if the last station they docked at had no shipyard function, they will redeploy at the closest station with a shipyard to the location where they had lost their ship. Criminal pilots will redeploy at the nearest Detention Centre in the jurisdiction where they were apprehended."
Redeployment of a commander occurs after that commander suffers the loss of their ship, or a critical injury while On Foot. When such catastrophes occur, the commander is quickly recovered by the Pilots Federation Rescue Rangers, allowing them to resume their careers in short order. Before a...
elite-dangerous.fandom.com
I haven't enabled the shipyard on my carrier as I don't want one, but I might enable it temporarily when I go out into the black after reading that.
Worst case scenario: Carrier is at Beagle Point but loses ship due whatever mishap. Commander then gets redeployed to the nearest station with a shipyard but own carrier doesn't have one. So commander ends up back at Bubble (or I guess Colonia) while carrier and all the rest of the fleet is several hundred thousand LY away...
Unless other fleet carriers that DO have shipyards count, if so guess you'd better hope there's another carrier around not far away.