In the 2000s and the early 2010s Boeheim always had the final say on who they were recruiting. The assistants would scout the major camps during the first few days, then JB would fly in for the last few days to do his assessments and decide on who he wanted the assistants to focus on. He always had the final say, at least according to the assistants I knew. There were some real head scratchers in there, like when Boeheim told them to back off Joachim Noah because we had already signed Terrance Roberts and he was going to be better than Noah (LOL), but also some good catches on guys like Rick Jackson who looked mediocre at the time but ended up being a lot better than the guy that the assistants wanted to focus on (can't remember his name, went to MSU and averaged like 4 ppg).
No idea if the strategies changed after I stopped going to the recruiting events, but that's how it was back in the day.