I agree it is not a for-profit institution, but I assume the commentator is using "for profit" in the colloquial manner for "non-profit that is charging exorbitant amounts".
Pedantry and HN - name a more classic combo
Pedantry and HN - name a more classic combo
"Their tuition is expensive" isn't a good reason to exclude them from the tax break. "They are abusing their non-profit status to basically operate as a for-profit corporation" would be a good reason, but I don't think it's true.