UK taking Norway if it doesn’t hold it for a turn doesn’t rob Germany of any income.
If Norway is empty and the British ships are safe and have nothing better to do, I’d still take it with 1 inf. It’s worth 3 which already pays for an inf that probably wasn’t doing much in the UK anyway and now has a 1 in 3 chance of killing an enemy unit when attacked. Also, Germany will want it back so they will send at least 2 ground units which won’t be going east, and they need to protect their transports in SZ 113 from UK-based Allied bombers, or maybe even tacs/fighters if the UK has a CV.
And once Germany has retaken it, why not try again and kill those units on the next UK turn and force them to invest again to keep Norway.