We're at 16 right now who did not have notable US Big 3 runs:
Riki Choshu David Starr Shinya Hasimoto Tiger Mask Lioness Asuka Suzuki Dr Wagner Zack Sabre Jr Satoshi Kojima Tomohiro Ishii Tetsuya Naito Will Ospreay Atlantis El Santo Giant Baba
Inoki, the Bucks, Nigel and Omega I'll grant are more famous for their non mainstream US runs though bringing us to 20ish but I dare you to tell me which of these names doesnt belong on this list.