STATO: You may be right. But it's worth checking.
My IO came with a 36/18 (e.g. an 'input ratio' of 2) a combo which I felt to be too hard on some of the harder gradients I regularly ride. I changed it to 36/20 (input of 1.8) which brought it down so the tough gradients were achievable. Unfortunately, above about 18mph I spin out.
If you alter the chainring/sprocket combo to 24/16 then this brings the input down to 1.5 which I think will be silly low given the difference a 0.2 drop made to me.
I don't have the alfine ratios at hand however and bow to anyone's better judgement!
Edit: if anyone's going to work this out, I'd be interested in how much overlap there would be in the available 16 gears….