I've seen a lot of NYMC, SUNY Downstate, and Einstien students learning under NPs. Thing is most of the time they have no idea. On rotations you are skimming the surface of specialties to begin to learn and get a feel for it. Learning from a nurse won't change the situation all too much. Unless of course they don't have the answer and need to defer to a doctor, in which case you'll still learn it! Also paying extra for rotations is something that is known to happen, most students check with the program prior to see if that will be the case then decide if they really want to rotate their or not.
Maybe it does happen more with DO schools, I'm not there and really couldn't tell you. Obviously you have more experiencing going through the process already. But I will say your complaints aren't strictly limited to DO. Though I do (and think everyone else does) wish schools would stop increasing class sizes without first thinking about where and quality of rotations for their students. That is not an effective way of running the school. If given an opportunity I, like most, would probably choose schools like TCOM, MSUCOM, OUCOM, OSUCOM, DMU, PCOM, UMDNJ, ect based in large part on that reason.Luckily enough there are quite a few schools like that. The next batch of schools don't exactly have terrible situations either and I'm certainly interested in them as well, fully willing to take the good with the bad and work to improve the school and it's reputation.