I agree. Belichick's comment about using "wet, sticky, cold, slippery" balls in practice confused me as it didn't quite fit into the context of the topic being addressed. Now I believe it was his slick way of preempting this statistical improbability that would eventually come to light.
Chris "Mad Dog" Russo said on his Sirius show that Belichick's son was the equipment manager. I can't verify that, but his son is listed as a coaching assistant on their website and no equipment manager is listed.