I have no experience with filling inlays like this but do have a lot of experience with all kinds of resins used in boatbuilding.
Polyester resin has 2 properties that I think might cause problem. One is that it's pretty brittle when cured which could be a problem if there's much material movement, but the one that I would worry about more is that it shrinks when it cures, which might keep it from having a good bond with the cut.
If I was doing this I'd feel better with epoxy...
Bill