Sure, it could start earlier and likely does with the way artificial surfaces have filtered down.
To look at the differences between sports, you'd have to analyze how the athletes move. I can't say for sure, but I suspect football has more hard cutting than the others you mentioned. That would place more stress on the joints. We know that football players are significantly bigger and more powerful than those other sports (maybe not as big a difference with lacrosse, but I think the movements are different). That has to be factored in.