Busing dirty dishes and servicing sewage lines gets them out of going to the lake, hanging out in the sun, drinking cold beer and playing volley ball.
Who'd want to do that !!!
It's like those guys who say prostitutes enjoy their work
The federation is that guy
Picard is that guy
When his drinks are brought to him in ten forward, he looks them in eye with a look that says, yeah you love bringing daddy drinks don't you baby
Most people do not enjoy their work. Most people don't have "careers" they just have jobs. The Federation is like communist propaganda about noble workers selflessly marching their people forward into the glorious enlightenment. That's the sort of crap they tell the people doing service jobs they can't get technology to take the place of. Picard speaks from one of the most privileged positions a person could have, from a self serving all encompassing organization he has spent his whole life in from adolescence onward.
"We work to better ourselves." Slogan.
And not very hilariously he tells this to a black woman living in a virtual refugee camp post an apocalyptic level war.
"Don't worry dear, you won't be a primitive forever, look at meee!"