>It's not especially easy to bring people to Japan because of all the other administrative barriers around housing, bank accounts, etc., as well as the language requirement. As can be seen from the low immigration rate.
Wrong. It was really easy for me. The low immigration rate is because it's not a terribly popular place to live, and because of the language barrier. It's also historically been not very immigration-friendly (legally, the immigration laws were strict), but that's changed radically in the last decade or so. Now if you have in-demand skills and a company wants to hire you, you're in.
Housing and bank accounts aren't a problem. I got multiple bank accounts pretty quickly after moving here. Housing is pretty easy: some (individual) landlords won't look at you if you don't speak Japanese, but the corporate landlords don't care, as long as you have a guarantor and a job that pays enough for the rent.
The language is the biggest barrier, but that depends on your job. Companies that try to recruit skilled foreign professionals have strong English-language support.