So you don't feel that doctors should pay for their education? What about jobs which require paid certifications? But in general I agree. Keep paid education separate from employment. No good can come from conflating the two.
If the "higher taxes" argument is what's implied, the return on an educated populace would show in GDP, likely reflect in lower crime rates, improvements in quality of life, among other things.
My point is that if "post high school" education (aka university) is accessible to/an option for everyone, then everyone benefits, from the individual, to their community, all the way up to GDP/tax dollars.
It's not a bullshit blue vs white collar "culture war" talking point, it's a matter of everyone having the same shot at furthering their education via university regardless of whatever their income is/their living situation/what family they were born into.
Some HN readers do live in countries where higher education is free ish.
And when it isn't, everyone suffers. When it is low-cost to free, you get folks that want to be doctors and qualify. When it costs more than a nominal fee, you take those folks and sort them by whoever can afford it, which may not be the best candidates. It also makes it more of an "elite" profession since poor folks are priced out of it.
By free, I do mean low-cost to free for the student and funded by taxpayers. Educated people benefit society at large, and especially so when folks are doing public service of different sorts (like doctors).