My experience with private schools where the teachers aren't unionized suggests the non-unionized situation can be even more fraught. Chaotic, manipulative principals, skeevy board members, low pay in exchange for "prestige", etc.
My direct experience is the more tenured teachers not showing up at all. Spent a significant amount of my high school roaming the halls because some of the teachers didn’t show up. This was opposed to the younger teachers who cared and put the work in, but also had second jobs, etc.