That is all correct, you DO have to be extremely careful when buying over there, but that is true for any purchase of the like wherever it may be. You can order a title search and full aircraft information held by the FAA online, use reputable sellers and avionics shops if you can, factory overhauls etc, BEWARE the cheap buy, it's usually cheap for a reason. Send your LAME over probably cheaper in the long run for both doing the deal and inspecting the aircraft also when the time comes to put the machine in a container, use someone that shipping aircraft is their bread and butter..