Which of the two observations is more pertinent to the claim that only white people do this?
It's like people don't even begin to think.
I think that's about right. I think the first time I saw this term used in British media was in the 1960s. The Lotus Eaters starred Ian Hendry and Wanda Ventham (Benedict Cumberbatch's mother) as members of a small British expatriate community on Crete.
This wasn't a completely new idea, because middle class British people strapped for funds often found it relatively easy to go to some rural area in Europe and survive on whatever pittance they could raise from relatives. An example of this is in the memoirs of Gerald Durrell, whose mother took her family off to Corfu because she couldn't afford to raise them all in thirties England. This was recently filmed for television as The Durrells.
There are subtle differences of attitude that distinguish immigrants from ex-patriates. Integration is never a conscious intention, and ex-patriates refer to those who do so as "going native." The immigrant is usually a type of economic migrant who trades on their youthfulness and energy to become useful in their adopted country and aspires to a higher standard of living through hard work. The ex-patriate is typically attracted to the greater spending power of their funds in their adopted country. Both can be a benefit to the local economy of their adopted countries, both may face challenges from the locals.
https://en.wikipedia.org/wiki/The_Lotus_Eaters_(TV_series)
https://en.wikipedia.org/wiki/The_Durrells
Historically the word has also refered to Americans and British people moving from one to the other.