"Job experience" sounds like correct English to me. Instead of looking for evidence of its correctness, why not say why you think it's wrong?
You're not arguing on the basis of usage, and semantically it's quite clear, so there must be something syntactic that you're not sure of. If "work experience" or any of those other terms above are correct, why not this one? It uses two nouns, with the first being used as an adjective.
You can't compare to this "would of" because "would of" is demonstrably wrong in grammar, whereas "job experience" isn't.
PS; I note that you've given one argument: "Also whereas "work experience" can be expressed as "I experienced work" or "My work experience", the same cannot be said of "job experience" ..." Are you claiming that a noun can only be used as an adjective if the qualified noun can be used as a verb??

