The Europeans might not move but they can starting working remotely. Similarly, Chinese and Indians will start working remote US positions rather than moving to Europe.
I work remotely from Europe, with a 4-hour overlap with my US colleagues and other folks in India, APAC, etc. I'm not alone, but it is a very rare kind of role, and some local positions pay more--but they are typically in heavily political/lobbied/traditional (i.e., old-fashioned and stodgy) industries.
good luck working west coast hours and staying europe. I'm working east coast hours and it barely works