As someone who has received sponsorship from all 3 shoe companies I can assure you that what you wear on your feet doesn't effect your on floor performance. Having said that, I do believe that Nike runs the best events, something that other shoe co. reps tend to agree with. That's speaking on how the event is organized, not about the talent.
When I was un-sponsored it was frustrating not being invited to better events, at the time (15 years ago) there wasn't the number of events as there are now. Every coach wants their players to compete vs. the best and have the best exposure possible so they can enhance their opportunities to be recruited.
When speaking of quality events obviously you have to consider the quality of players and teams. The 1st Kingwood was the best event I've ever been involved with in 26 years of coaching, this was before Nike pulled most of their teams, all 3 shoe cos. were well represented.
Gibbons is special because of the venues, his talent level is always good and the event is well organized.
The Peach Jam is by far (IMHO) the best, from the venue, the crowds, college coaches, usually head coaches, the teams are fed 3 meals a day, players families are admitted for free. It's a heck of an environment.
To me, running on time, officals, scorekeepers all go to making a quality event. If these are handled properly and the competition is good then you have the makings of a quality tournament.