Jacoby makes cues for Predator. If a pro Predator sponsored player were to use a Predator cue made by Jacoby, who's cue would he be using?
Jeanette Lee was sponsored by Jacoby and played with their cues for awhile. After leaving Jacoby for another sponsor, she liked her Jacoby so much, she had Jacoby make her a cue with her new sponsors name on it.
It's no different in alot of other sports. Take pistol action sports. While your top sponsored pros shoot for various manufactures, you can not buy their pistols. Sure they have models with their names on them, but the pistols they use are all hand made by a top gunsmith, most of which don't even work for the manufacture the shooter shoots for. They may start with the basic frame that the shooter has his name on, but everything else is outsourced and hand fit by their preferred top gunsmith. Doug Koening is a prime example, used to shoot for S&W, now Ruger. While ea had pistols with his name on, the actual pistols he uses were built by a gunsmith that he prefers to use.
To think that a top pro in any sport has to use the product with their name on is just not realistic. They may be, then again, they might not be, just the way it is.