> That doesn't even happen for actual EU citizens, why on earth would an EU taxpayer allow for this?

I am no expert in all of the EU countries, can you give example of an EU country where basic education, basic health care, relatively functioning judicial and police system are not guaranteed by governments?

And why would the taxpayer want to guarantee (different than actual payment) this? Maybe because the other option is literally millions of people crashing one day in to EU uninvited?