Plate hx's have what I call the 300-300 limitation. That is, 300 PSI, 300F, but not both conditions at the same time. The gaskets are usually the limiting factor on temperature, and the large flat areas are the limitations on pressure. Plates offer much closer approach temperatures than S&T's, much closer, and they occupy less floor space comparing surface areas. They are completely cleanable. The flow passages are small relative to S&T's, so if fluids are not clean, they make excellent strainers, and hence, will plug up rapidly. Gaskets are a problem, but only if not properly installed. Unfortunately, gasket replacement is not the job that the best qualified mechanic in the shop usually draws. Normally "Bubba" gets to do it, and guess what. P&F's get the blame.
Post this question on the Heat Transfer thread, and I'll bet you get a lot of answers.