I am almost certain that we don't know enough to say that most planets don't have plate tectonics; even if one assumes that gas giants do not, they are certainly disproportionally represented in the sample of planets we know of, on account of being easier to detect, due to their size.

I believe that there is some speculation that plate tectonics is necessary to sustain the sort of environmental stability, over long periods, believed necessary for complex life to evolve.