Aquela escola é um lugar bem elitizado.
could be also expressed as the following (in slightly different contexts):That school is an elitist place.
That school is an elitist place (where ordinary people are not invited and cannot afford to go).
That school is an elitist place.
That school is a place where the elite, a selected privileged studies.
That school finds itself listed amongst the world’s most elite, a fair share of aristocracy is educated here.
Elitism has indeed several meanings to it, it could range from snobish to exclusive (and many more in-between, like TOP for example.), and to many the very fact of someone being educated in a private school would be a luxury to others.
Speaking of which, this topic took me to an item on The Atlantic
where I found that president Carter was the only president ever that enrolled his daughter in a public school.https://www.theatlantic.com/education/a ... ox/495227/