Why?The base of the fghter is a big dumb jock. Turning that into a sauve noble, a wise sensei, a genius bandit leader, or a terrifying commissar often results in something not satisfying to the player or the other member of the party.
I think this is only true for people with very limited imaginations and nothing in the rules drive you to a dumb jock. Nothing about the description of a fighter screams "dumb jock" to me and to be honest of all the pictures of fighters in the PHB, SCAG, XTE and TCE, the only one that actually looks like a dumb jock is the Rune knight.
Noble is a background that any class can take and there is no reason a fighter can't build himself into a bandit or a suave noble and play that very well. As a matter of fact both the Bandit Leader and the Knight in the MM are built on what is essentially a narrowed down fighter chassis and you can build either of those monsters with equivalent abilities using just fighter class features.
I also don't get what you mean by not satisfying for other members of the party. Can you provide an example?