My daughter's school has been embarrassingly successful in multiple sports, but every interaction I have seen thus far includes encouragement of students to participate in a sport each season if they want to. It probably helps that some of the coaches might be a varsity coach in one sport and a freshman or JV coach in another. It is high time for some coaches to recognize that while there might be a small slowing of skill development in some areas, multi sport athletes are better rounded athletes who often are avoiding some of the specific over use injuries and specific muscle group weaknesses that a specialized young athlete might experience. Oh yeah, and it's fun.
Does this match your experience
@jcyclonee?
EDIT: By the way, this isn't small school - this is a 6A football school.