I suggest pre-cutting the parts as well.
But that procedure has certain issues like possible over spray on the edge, cleaning the parts so they are flatbed ready, a lot of labor if there are many parts plus registration issues.
Before going this way, you may want to do a few tests with different points in the cure/post cure. Router bits prefer good adhesion and a bit of stretch to the ink during cutting. If the
pieces are sitting around a long time before routing the ink may become more brittle and chip vs cut cleanly. you wouldn't even need to use the router for testing this. ...print a piece of
pvc, then push pieces through a table saw from "just printed" to 5, 10, 15, 60, 120 minutes, a day later. you may see a change in ink chipping becoming gradually better or worse as the time progresses.