Tis is what I have encountered so far:
US does not block non US products. They have no laws regarding cosmetic safety, so anything can be used there, including our soap. However, the postage often puts a lot of people off.
it is illegal to sell products that do not conform to EU law (even if you're not in the EU while selling them) so really, these US sellers should not sell to those in the EU. It is an imprisonable offence! Not that we would care that much anyway, I don't think anyone would snitch.
The testing procedure is done by a chartered chemist. The EU states that there are some substances which can't be used or can only be used in certain strengths or less. I have found this very restrictive on my soap making flow of ideas. Some of my recipes haven't made it, and one of those in particular has been loved by all who tested it.
It is excessive, but it does stop those that would unknowingly put others at risk. However, A friend of mine from another company has attended markets where other soap sellers didn't have a clue they even needed to abide by EU testing law.
Food for thought, as nobody really seems to be doing much to catch those that operate without certification.
With regards