You have not identified any "fallacy".
Your posts are almost entirely fallacious reasoning. Red herrings, non-sequiturs, false dichotomies, straw men, circular reasoning, ad hominem. A veritable smorgasboard of broken reasoning. But that is to be expected from people that start at a conclusion and then try to reverse-engineer a trail of reasoning to reach it.
You have not identified any corporation, that quadrupled the price of its offering without improving quality (or due to spike in cost of raw materials).
You have not supported your premise that education today is identical to education in the 60s, nor that outcomes today are worse (or unimproved), let alone provided evidence - or even a rationalisation - that this change is a direct outcome of publicly-funded education.
The best performing education system in the world is generally considered to be Finland's, in which private schooling is all but nonexistent. Indeed, pretty much all the highest performing countries have education systems that are primarily publicly-funded. On top of that, widespread - near universal - high levels of education and literacy have only come about relatively recently with the wide availability of publicly funded education.
Consequently, the argument that publicly-funded education is inherently inefficient or low-performing is simply ridiculous on its face, and the argument that private suppliers can achieve the same outcome - given many millennia of failure to do so before the rise of public education - is sketchy, at best.
As I answered that poster and idiots like him. I want the government to [...]
You have failed to justify why these are the only two functions Government should perform. What you'd "like" is entirely up to you, but it carries no more weight than what I'd like - and at least what I'd like has some basis in reasoning, fact and evidence rather than ideology, paranoia and fear.
Statists expecting more from their government are, no doubt, welcome to Cuba and North Korea and the even much nicer Germany or Greece.
What's a "Statist" ? Someone who thinks Government has one more responsibility than you do ?