GDP is kinda like measuring a programmers productivity by LOC production. It is correlated with productivity when you are not judging based on it but once people start optimizing for it it no longer correlated.
What is it that we actually want from society?
For example, if Japan's population halved, but its GDP remained constant, then each individual Japanese person would be twice as wealthy.
That's true everywhere. Inflation has been low for the last 20 years. Consequently interest rates interest rates have been low, and so asset prices have been spiralling upwards for the last 20 years. Spiralling asset prices means the price of a house is a higher multiple of your yearly income. And yes, if you happen to be at the house buying age at this time in the cycle it's downright unpleasant. We all know interest rates will likely rise, and that will cause a great deal of pain to people who maxed out their borrowings when rates are at record lows. Japan is the spiritual home of low inflation and high asset prices so it's been going on much longer there. But this has been happening in most countries, and most of them have growing populations.
I live in Australia. I find Japan's hand wringing about the "our standard of living is doomed if out population density keeps dropping" downright funny. Japan has slightly worse GDP per capita than us (which I would put down to Australia's abundant natural resources). But when it comes to population density, there is simply no comparison:
https://countryeconomy.com/countries/compare/japan/australia...
Japan's current rate of population decline would have to continue for over a millennia before it's population density reaches ours.
* order food
* shop in a store
* stay in a hotel
* consume healthcare (particularly old-age healthcare)
The likelihood that you're using immigrant labor is 100%. Japan is hugely dependent on immigrants -- particularly those from SE asian countries (e.g. Vietnam), who provide the bulk of the low-wage, low-skill labor.
Visit any hotel in Japan, for example, and the cleaning staff will be almost exclusively non-Japanese. Even the "traditional" inns in the smallest towns usually have "trainee" labor from foreign countries.