https://www.macrotrends.net/countries/NOR/norway/gdp-per-cap...
https://www.macrotrends.net/countries/USA/united-states/gdp-...
No, they aren’t (except that the production that produces them is, for domestic investments), because investment returns aren’t finished goods and services, and GDP is the aggregate value of finished goods and services produced. Counting investment returns on top of that would be double counting for domestic investment, and counting something completely outside for foreign investments.
There’s significant debate around how much money should be taken from the fund to subsidize government services, but simply having money in an account they aren’t accessing doesn’t change the day to day finances.
Recidivism data really lags spending. Remember they need to have left prison 3+ years ago or you don’t know if they will go back in that time period and to have some effect you’re really talking about money allocated 5+ years ago.