You may have a different experience, but in my experience we move stuff between factories pretty frequently. Never had a problem. Also never had a problem with factories ripping us off, it’s always fellow US-based importers doing it. But we’ve been working with most of our factories for around 20 years to when they were based in Taiwan, and that surely helps.
And in reponse to a couple posts back, if this is a product that can be made entirely on a CNC router, I wouldn’t bother sending it overseas. Labor cost is where Asia has the biggest advantage, and there is little labor involved in cutting something on a CNC- that’s one of the few areas where domestic manufacturers are still competitive. There is a lot of spare CNC capacity in the US, and shops that are very hungry for the work. It might be a little cheaper in China, but by the time you factor in shipping and the hassle factor, there’s not much difference left. It’s also hard (possible, but hard) to source decent panels (plywood, MDF, etc.) in Asia. Most of what’s available over there is utter crap.