I mean, it makes sense because all forms of combat are borrowed from ancient times, just like sailing arts. So I have no doubt the British and American Navies picked up a lot over the years from Asia. Spain kind of lost out if you ask me...their language is all over the Filipino arts, but they are long kicked out. They lost the game of empire.
This is also a kind of trope now. The US/British military guy learning and training to fight overseas is at the core of everything from The Karate Kid to Bloodsport. But I believe it, which I why I hate the term "western boxing". They don't call tea time "western tea time", after all.
"Plebe boxing" is what the US army teaches young officer cadets, and it's based on 240+ years of fisticuffs.