My parents sent us to private even though most would say we couldn't have afforded it. (I was embarrassed to have friends over because the bedroom, kitchen, and living room were all one room, for instance, which isn't that common in this country.)
It was a wonderful gift. I loved school. I loved my teachers. I was eager to excel. The small class size and close relationships worked well for my personality and (traumatic) early life experiences because it was like a caring family.
I don't expect all private schools are like that, and I'm not sure all public schools aren't.
I would also respond that, when it comes to love of learning in particular, I am not exactly sure that going to private school nourished that while I was there. I love learning NOW, and am curious, but as a child I was very concerned with getting things right and getting good grades and succeeding in school-- all valid goals, but contrary to the spirit of nourishing true love of learning, in my opinion. This is partially a matter of personality, but also a matter of the ways teachers praise children and how schools administer grades and testing, which aren't necessarily avoided by sending a child to private school.