>>10917567hmmmm good question. certainly if you took a plain wormhole solution to the einstein equations and then perturbed it by adding a non-negligible mass to it, then it would perturb the spacetime and you probably would be able to approximate those perturbations as a gravitational attraction that at least partially is felt through the wormhole. but it would be small, though, since you could approximate its gravitational attractive force as going as 1/r^2 so the wormhole would only catch an amount of its gravitational force proportional to its apparent surface area as viewed by the test mass.
OTOH thinking non-perturbatively, you'd want to solve the einstein equations that have a black hole AND a irreversible wormhole. and then you'd need to stick in all the other weird effects, like the black hole is a kerr black hole (rotating). i am not aware of any such solution to the einstein equations like that -- maybe they exist and you could look it up. otherwise i think my perturbative argument would probably hold reasonably well provided things are relatively distant from one another