No identifying info like commander names, but, other than that I do think the FC owner should be able to see what happens on their FC. How many unique ships landed, when, how often, and what business they did while there sort of things.
I would like to say we should have the ability to place a bulletin board on the wall in front of docked ships inside the landing bay with jump info, mission statements, and the like, but, of course, people are stupid and some moron would fill their board with profanities, racial slurs, and generally use it to troll people. So I can understand Fdev not wanting to police that. Can't have anything nice because people can't behave.