The Epicurean Dealmaker's thoughts (he's an MD for some big shot bank):
http://epicureandealmaker.blogspot.com/2014/07/you-go-first....
This is already the case, at least at Wharton. A number of the PE megafunds recruit undergraduates here, specifically Blackstone and Silver Lake. I only really know of one or two offers being extended per year, but that's because private equity shops simply have fewer entry-level positions -- they can therefore afford to be picky.
I'm sure that PE middle-market companies also recruit here (my knowledge here is more limited, as I gravitate toward the technology portion of my education rather than the finance portion), but it seems likely that students would take a bulge-bracket investment bank over a middle-market PE shop.
It's simple supply and demand.