No, IMO, all the muzzle would do was PANIC him and FRUSTRATE him because he just knows that when he goes to do something that comes naturally to him he CAN'T...brain shuts off, and no amount of correcting is going to fix it because all he can focus on is this crazy thing on his face that is preventing him from doing something in a not so plesant way. You're putting way too much of the human thought process on him. There is no way he's going to think to himself "gee, I'm trying to make contact with this dog and I can't...and I have this muzzle on...so it must mean mom doesn't want me to nip this dog."
Again, IMO, you need to make sure when he plays with other dogs, he's doing so on a long line so when he goes for the first attempt at the nip, you can correct, redirect, and reward. I highly doubt this will be a behavior he'll ever totally get out of, but you need to get to the point that when he goes for the nip and you give him an "eh", he'll stop.
I think you misunderstand, I'm not making him think that a muzzle means I don't want him to nip since its stopping him from nipping, otherwise the ball would have worked fine. The muzzle has absolutely nothing to do with training him to stop nipping, it's to protect other dogs during the training process.
I wanted a wire muzzle because then when he would TRY to make contact with a dog, I could correct him for attempting because since it's wired, I could still see his mouth. The muzzle wouldn't be the correction, I would be doing the correcting. I came up with this idea because when he has a Cuz in his mouth, he will squeak the Cuz when he is attempting to nip, but can't because he's holding a ball. So even when he can't nip, he still tries to.
Chrono used to be great with other dogs and was a regular at the dog park, but his obedience classes made him leash reactive again because of the class being so high strung with problem dogs and dominant dogs staring him down, so I stopped going to dog parks to focus on that. And then summer came, and I'm
terrified of ticks, so I stayed away from dog parks since they were infested. But now that he hasn't had proper interaction with dogs except for walking by them and sniffing them for so long, he has poor dog manners when the leash comes off.
We went to the dog park yesterday and he was okay, but he only met about 3 dogs since it was late. These aren't your typical dog parks where you stand around and let your dogs play, these are off-leash hiking trails where dogs are allowed off-leash. I stuffed a ball in his mouth and he was okay, but he didn't play with any of the dogs so it wasn't much of a test.
Today I was allowed to use a friends dog who loves chasing games. He nipped a few times in the beginning, but a few corrections later and he stopped except for the occasional time where a very long chase made him too focused. I'm going to keep returning to the dog park daily and using this dog to help him until he's better socialized off-leash.
Dogs may not need doggie friends, but that doesn't mean he shouldn't be able to be well behaved off-leash around other dogs. We do a lot of outdoor activity such as quading, biking, hiking, dirt biking, camping, etc with him, and there tends to be a lot of dogs off-leash. He doesn't need to be buddies with every dog he sees, he just needs to not nip them when they run.
. Too bad our dogs couldn't get together and nip each other until they got sick of doing it 
