That's just playing with words. Putting Gordon Ramsay in the same bucket as "burger flipper" makes as much sense as putting Linus Torvalds in the same bucket as "keyboard monkey".
Why are you pivoting to "value"? The original discussion was about skilled vs unskilled labor and whether that assessment is subjective vs objective. You might think that accountants are useless paper pushers whereas burger flippers are Hard Working People That Get Actual Things Done™, but that's orthogonal to how much skill[1] is needed to flip burgers vs be an accountant.
So you're trying to derail the discussion to something about "value", because the page I linked about "skill" has a passage about how skilled laborers were historically important to the economy? What does this have to do with the subjectivity/objectivity of "underpaid", "unfair wages", "unskilled labor", or whether a burger flipper is more "skilled" than an accountant? As I said earlier, even if you think that accountants are useless paper pushers, the fact that they're pushing papers in a very specific way that takes years to learn, makes them more skilled.
First I'm pivoting now I'm trying to derail, when all I've done is answer you question; but to make it plain: yes, it's subjective. How else are certain skills valued more that others? There's no objective measurement to these. Comparing the skills of one disapline to another doesn't work, like apple to oranges.