I don't think that's really feasible, unless you have family in another country or something. It would be pretty tough to get a work visa so you can remotely work for a company back in the US.
I'm sure you are correct, but thinking about it from the perspective of the host country, it seems like allowing this might actually be in their best interests. They get the income/sales/real estate/etc taxes from the new resident, without the resident taking up a local job that a native might hold instead.
I'm actually surprised that more countries haven't create specific remote worker visas; they get all the benefits of having a new citizen (ie tax revenue) without the work of creating or nurturing local industry to employ that person.
