>

Not true, 
Cheers they work at a bar which is the setting of the show
Rachel in Friends goes to work in the cafe in the beginning
Seinfeld Jerry is a stand up comedian which we see him do at the beginning and end of the show
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The Office, Cheers, Scrubs, Superstore, Brooklyn 99 they're all literally at work. 
King of Queens, Seinfeld, Friends, etc. We see them at their various jobs many times.
As for the crime dramas well duh typically when they're off work someone else is handling the crime, and shows like Criminal Minds we see then work over the course of days so yeah they have to stop working. >

Don't forget married with children. >

i wasgoing to mention mwc and the nanny >

I'm not even sure I could name a single sitcom where people don't go to work. >

I mean...we see the parts of their lives that are relevant to the story the creator is trying to tell, right? >

Plus this is just straight up wrong. Off the top of my head, characters in Friends, the Cosby show, Seinfeld, Blackish, Modern Family and Fraser were all frequently shown at work. I'm sure there's countless more but these were the first that came to mind. 
And this isn't even including all the sitcoms set in the workplace like the Office, Cheers, Scrubs and Abbott Elementary.