There are orders of magnitude more patents in the private sector, but most are either not licensed or are licensed as part of huge 'pools' as private sector patenting is driven by the arms race between companies to have a large enough patent portfolio to retaliate if sued (there is a lot of patent 'slop'). And that's not even counting fake (troll) innovators. Whereas uni patents are probably more likely to be licensed out on an individual basis. So it's really hard to know the significance of counts alone. You'd have to look at a random sample of uni Vs private patents and assess each one.