It’s a fantasy. And it wouldn’t work.
No matter how "advanced" the society may become, I guarantee you that Kirk pulled down a lot more credits per year than ensign Chekhov.
And why wouldn't he?
He has the entire ship riding on his command and decisions.
He's not going to settle for the very same pay, for a MUCH more difficult job.
BTW, when the ship does need things of value, like dilithium crystals, the miners want cold hard cash, or something of tangible "worth" like females, as in "Mudd's Women".
They were prepared to cut Kirk out completely and deal directly with Mudd.