Well this poses quite a challenge. How deep is the cabinet to be recessed? Are the wall studs 2x4 or 2x6's? Are the wall studs 24 inches apart?
What I would do is: find a cabinet that is 22 inches wide so that it will fit in between the studs and not require any studs to be removed since you do have a good wall on the other side of the wall that needs the studs for support. Now to, if you choose this method, you might not have the studs centered properly so that the cabinet is installed centered over something. Then removing the plaster and then removing the metal lathe is quite a difficult job. It will actually take a sledge hammer and a cold chisel to cut the metal.
I would just come to realize that the best and safest method is to mount the cabinet to the wall without tearing up a wall. You can get some molding and mitre around the cabinet to make it look nice and neat.
Then you also have re sale value, maybe some one does not like the hole in the wall and wants to change the cabinets out.