Health: That depends on how you define “hareidi”. Most Israelis define “hareidi” in part by not serving in the army (so if a hareidi serves in the IDF, he isn’t hareidi), along with not being employed (so if a hareidi works other than in a yeshiva, he’s not hareidi), dressing “funny” (so if a hareidi wears a modern suit, he’s not hareidi), and so on. Needless to say, the typical Israeli is a bit confused. That’s without getting into the fact that many Dati Leumi learn full time in yeshiva and some where funny clothes (okay, at least a frock and a homburg, both of which went out of style a long time ago in the western countries).
I prefer to use terms such as pro-zionist (supports the state), non-zionist (tries to ignore the state but will work with it as necessary), and anti-zionist (wishes the state would go away) ,