Frankly, I don't see the point in attempting to decipher silly American regulations and comply with their petty restrictions. It would be much easier for any UK pilot to simply do overseas training in friendly Australia, Canada or South Africa. The cost is approximately the same and the instruction is at least as good, perhaps even better.
I like visiting the USA, but unfortunately their paranoid right-wing government has effectively taken the country out of the flight training business. There are better options.