The speed with which anything would travel through a wormhole (like instantaneous) would prevent any meeting inside the wormhole. Think of it this way, nothing traveling between two entangled particles at different locations in the universe would ever meet anything else between the two. A wormhole may show a tunnel in illustrations but it is more a teleportation here to there, or there to here, wherever here and there are, than a tunneling. Any meeting would have to be at the entrance (this side of the horizon), or at the exit (again, this side of the horizon). "Stargate," or "Through the looking glass," so to speak.
In other words, whatever goes into a wormhole pops out of the universe at that point. Whatever comes out of a wormhole pops into the universe at that point, having gone from this entangled point to that entangled point (or vice versa). Coming and going regarding the macrocosm, just as things are known to do in the microcosm. As far as a particular observer is concerned, something appearing from literally nowhere but at some particular point, or disappearing to literally nowhere at some particular point. Like some UFOs we've heard of now and then, suddenly here one time, then just as suddenly gone (possibly having artificially rigged wormhole point transfers, and temporarily missed their points because of somekind of temporary blockage or interference at one of the end points, for all we know).
To answer the main question directly, as I see it, all blackholes without exception are particularly deadly forms of wormholes; having connected (entangled), inescapably implacably, with a 'naked singularity' (the Big Crunch) at one end point of them all.... Strictly a one way trip.