An endorsement with music gear manufacturers is more about gear and service than money.
In Larry's case, he get 'x' amount of drums / cymbals / sticks - plus service and replacement for some items during a tour - from the manufacturers (Yamaha, Paiste, Promark).
As for The Edge, sites have post Edge as using some of their gear, the last endorsement advert I've seen withEdge was guitar string ads leading back to the 1980's.
Edge uses a variety of manufacturers gear. So in that, he doesn't have exclusive deals. It's also why there hasn't been an Edge-model guitar - and probably won't ever be one.
The Music
Rising LP was a charity inspired guitar and not a signature model. Gibson has approached Edge and Dallas about a signature Explorer, but thus far they've declined - and for good reason. I got to talk to Dallas about this and he said they could try to make it look the same but it would be quite the same. The wood wouldn't be exact as to his 1976's....
Case in point - Look at the cloned 1975 LP Gibson made. It looked the part, down to the scratches. But Dallas said it didn't sound the same as the auctioned 1975. Hence, it was played on "Walk On" and "Unknown Caller" on the last tour - and "...Caller" was out of the set by 2010.
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