no, private euqity means "Si (1), Mu(4)' fund. Venture capital is the early stage of private euqity. Like public capital market. private euqity firms can make investment into early or growth stage firms in the forms of equity or debt. It's nothing related to prviate client service or investment funds.
While, further more, private equity is actrually more decent than IB or consulting for some people. In this area, only harvard is a big name, and then the remaining.
I think it's worth to mention that WSJ ranking is based on recruiters experiences/opinions about the schools and therefore, might not be consistent with the education quality of the schools that they rank. US News and Businessweek, in my opinion, are more on the point about the school qualities. So be careful when reading these rankings, think what criteria/methodology that they each use to do their ranking.