After teaching at both for over a decade, I have not found any significant differences. At a for-profit school, there is more information shared about budgets, enrollments, and other measures of financial health. At a private nonprofitschool, that same infomation tends to stay hidden. Otherwise, I have not seen significant differences.
If anything, the private for-profits tend to pour more into student services and placement in an effort to boost retention and reputation.
What differences have you seen?