This works this way for most social programs in most countries. E.g. to can't migrate to a country and then claim unemployment benefits. That doesn't mean the statement "the country has an unemployment program" is false.

There are dozens (maybe hundreds) of thousands of people paying for universities in the European countries with public schools (most of paying students are of second/third-world background in a country that is acting passively aggressively to them because of their non-resident/non-citizen status [that causes issues e. g. with banking services], btw), and many of them in Sweden, that's why I feel the statement is false. Also note that I'm not judging, merely stating a fact; I don't see anything wrong with both funding approaches, and think they should be combined (like in Czechia).