Re this whole lacrosse v other sports thing. I don't think either requires better skills, or has better athletes, it's simply a preference for young kids. But the tri-state area adds an interesting twist, because generally speaking baseball players from the North East find it difficult to get high major / professional offers because they can't play year round. And it's difficult (although not impossible) to compete against guys who play year round in Arizona, California, Florida etc. But there are always exceptions, Mike Trout is from NJ, Matt Harvey is from CT. Exceptions to the rule; much like golfers from the north east.
Therefore if you want to get a scholarship, in many cases it makes sense to focus on lacrosse. And parents and coaches know that. Assuming you're just as good at both; you're practically guaranteed a high offer if you're all-county in lacrosse in the tri-state area, where as I know many guys from HS, or whom I've met later in life, who were very good baseball players but received only low D-1 or DII offers after being equally successful.
Basketball and football are a different case all together. Nobody who is a high major recruit for basketball or football turns it down to play lacrosse. If they do, they are lieing about what their offers really were in football or basketball.