A controlling document like this one from the PGA Tour (2017-18) is needed. It would help avoid this mess with provisions like:
1) Defining an appropriate size, shape, permissible location on the clothing and a maximum total number of logos on the clothing for all sponsorships.
2) Create a list of categories under which sponsorship is not allowed (in the case of the PGA Tour it is tobacco, spirits, beer and wine, casinos and gambling (they can use the name of a resort but not the word casino, so Foxwoods Resort is fine, Foxwoods Casino is not). Pool could have a completely different list and might very well allow casinos.
3) The PGA Tour, to protect the deal with FedEx (The FedEx Cup), banned sponsorship deals with direct competitors such as DHL and UPS. That is more tenable than a cue maker banning sponsorships from other cue makers because the players don't "use" a DHL product to make their living, like a pool player uses his/her preferred cue and equipment.
So, germane to the issue regarding Predator, a rule for Predator-branded events could be:
While players are permitted to have endorsement deals with competing cue manufacturers and to use those cues in Predator events, their logos may not be present on the player's clothing while he/she is "on the floor" either for practice or competition at Predator events. (Basically, say that they CAN'T wear the logo of the competitor, but don't try to mandate what they MUST wear). That is more in line with the PGA keeping competing brands out of the public eye to support FedEx but players certainly aren't mandated to wear FedEx logos on their clothes.