Since we’re both arguing from a very subjective and generalized sampling, I don’t think we’d every be able to move much past an IMHO level of certainty. Which is -fine-, but I’ll still lean towards (in the US at least) less emphasis on class, but often more on income. Not that there isn’t correlation between the two.
My wife (who just finished her PhD) is somewhat familiar with the feelings between the various disciplines in terms of “purity” and “rigor”. She’s an experimentalist, and while I wouldn’t call it sneering, had less respect for pure theory types, who could just wave off on things like “well, if we assume x = 1, then my theory works!” But for her, if you don’t have data to show that x likely = 1, then it’s pointless. And there was a degree of reverse dislike for the “lab rats” as well.
But is this class / education based prejudice, or just an all too human feeling that your personal specialty is the best and no one else understands?
On a more direct comparison, her advisor, the current chair of the physics department, had a minor plumbing issue last year. He tried to fix it. It became a major plumbing issue. A professional came in and fixed it, who had (AFAICT) no formal education, but plenty of experience, and fixed the issue in a couple hours of hard dirty work.
There apparently wasn’t any sneering, but possibly some rueful head-hanging - not only could the PhD not fix it, but made it worse. And the apparent cost of the repair indicated that the man who spent 10+ years getting their formal education and 20+ as a teacher makes a fraction of the money that the plumber does.
Anyway - humans are a fuzzy topic. I think it’s closer to the truth that we can and do admire those who are capable of things we are not, whether it be practical/professional skills, or deeply analytical ones. The people who, regardless of class and education, dismiss the efforts of others as beneath them or unworthy are an issue regardless of the side of the educational divide.
And such sneers pale in comparison to those who manipulate information in order to profit from such divisions or any individuals ignorance in a specific field.