PPS: I think I might know why you don't like it.
"Work" can be a non-count noun. "What's your work experience?" means "What's your experience of work?"
And we don't say, "What's your experience of job?"
Also, there are many such phrases that use non-count nouns:
What's your television/reading/space... experience?" -> What's your experience of television/reading/space ...?"
But there are also many phrases that use countable nouns where the above doesn't happen:
"What's your movie/piano/motorbike experience?" These doesn't convert to, "What's your experience of (or with) movie/piano/motorbike?"
Would you claim that all these latter phrases are not proper English?