from memory the Tommy is a straightforward aircraft to land, but agree that going in at 15knots over speed is going to create issues, especially around that gust/x-wind. Mind, give it a few more years and there won't be too many PA38s around.
I agree flying it around the book speed is important but + a few knots is not the end of the world, albeit +15 knots is going to cause real issues, and leads to a fear factor developing if you're only doing the (correct) book speeds.
I think part of the problem stems from the early lessons not being taught correctly, with people rushing to circuits then rushing for first solo. Guys learning to fly in the winter weather go weeks without flying and in those early stages you then loose familiarility and feel of stalls etc.