Actually my third son is currently in AAA and did get asked by two spring teams but was smart enough to say no and focus on other things in the off season.
WE have learned our lesson. Our first son who is now in his second season in the OHL did the Spring Team stuff for a few years and with hind site and experience we realize it was a waste of time and just bullshit. Did not help his development at all. Once we gave up the Spring Teams he improved greatly and had more desire to play during the real hockey season.
But do what you want to satisfy your ego.