A different university had a policy to prefer orders from small businesses for just the same reason. The local suppliers knew that, on any given job, there was about a 10% chance the university would never pay up. They could sue, but a) the legal department had handle thousands of these cases and had gotten pretty good at it, and b) they would be banned from any future bids. One percent of the time, some one would get stiffed twice in a row and go under, but, hey, if you aren’t okay with risk, then maybe the public sector isn’t the place for you.
Anyway, that’s the prevailing attitude that I encountered. They are ACUTELY aware of how money is earned and will do everything in their power to stop you from earning it.