"Porting COD to Switch is much less investment than porting COD from PS3/360 to Wii, yet that was done several times and was profitable."
It's common knowledge. Switch is much closer in both power and architecture to PS4/Xbone than Wii was to PS3/360, this is why we see the kind of ports to Switch like Doom 2016, Hellblade, Wolfenstein II, etc while Wii never got those kind of conversions. As for them being profitable, they did it 5 times. Companies don't repeat unprofitable ventures.