If safety matters, perhaps we should not trust the regulatory body of a country on approving the aircraft built by that country. The conflict of interest is highly possible.
That would make the FAA look bitter and petty in addition to incompetent, it would trumpet their embarrassment and make them look worse than they already do, not avoid it or hide it. But in the long term, agency politics aside, it would be better for all of us if these agencies did independent reviews.
This is a matter of public trust. As an American I might trust the EASA’s certification more than the FAA, and that’s a really bad spot for the FAA to be in. International drama about who accepts who is just a side effect of lack of trust in the FAA.