But if it meets FAA criteria and passes inspection does it matter where the work is performed? Isn't there a check and balance where repairs have to be certified before the plane can be used?

You might even be taking a prescription drug that was manufactured outside of the United States but is FDA approved.

Some French wines are better than some California wines and some California wines are better than some French wines. Where something is geographically manufactured does not automatically make it inferior or superior to one made in another location. There are good (and bad) workers on both sides of all borders.