In my opinion, the tests that have happened with the EmDrive are exactly what _should_ happen to make sure that our knowledge is strong and that we do keep advancing the field.
(Actually, fun side note, in a gravitational field, space isn't symmetric under translation. IIRC, this was the original problem that caused Noether to prove her famous theorem. She found that while there was still a conserved quantity of a sort due to "translations" in space and time, it wasn't just the energy-momentum tensor, but also depended on the gravitational field. In any case, the EM drive is supposed to work in flat space, so that shouldn't become an issue.)
“ When a distinguished but elderly scientist states that something is possible, he is almost certainly right. When he states that something is impossible, he is very probably wrong.”
This is the physics equivalent of someone writing a brute-force recursive SAT solver and wondering why it takes so long. Perhaps we don't measure time correctly? What if mirrors are an illusion? We mustn't stop advancing the field!