Both my new Epi Es335 Inspired by Gibson and ES 339 Pro have the infamous bridge buzz. Either the wire or the screws. I replaced the Pro with a Wilkinsen Locking Roller bridge and it fixed it. Anyone else experience this. Otherwise Epiphone and Gretsch have raised the bar with their overseas guitars. The quality is amazing.
So far no. Not with my ES339 or my Casino. I have replaced the bridge and inserts on my Gold Top with a Faber locking bridge and I may also replace the one on my ES339 but haven't decided on which one so far. But buzzing wasn't the reason.
Why is this in our eBay section? As to your question, yes it's pretty commonly known around here that ("some" of) the wire retained bridges buzz or are impossible to intonate due to their design. There are things you can do to tweak them - or you can replace it with one of the myriad TOM bridges that don't rely on dental hardware to function.
nail polish remover or non-permanent loc-tite around the saddles will take away the rattle. But those Wilkinson bridges are real deal good. esp for the money.
I replace TOM bridges with Gotoh bridges. Much higher quality and not very costly. Besides the saddles have much more travel for intonation (and no wires).