
Welcome to my world, sensible as can be in doggy venues, it's just the dogs in the street, frustrated greeting behaviour and excitement.
With mine it's two of the 6 (one copies the other), and of course I can't stop and allow her to greet the other dog as they would find 6 dogs overwhelming. On the odd occasion with a very confident dog and owner I have been able to let mien greet one at a time by holding the rest back, and no problems.
It is embarrassing, and other than walking the two culprits on their own and greeting every dog we meet I don't know the answer as at shows, training classes, etc not an issue.
As for growing out of it my gobby twosome are 3 1/2 and nearly 5. I would try and see if the other dogs owner will let you greet, as you (I assume) only are walking the one.