Nintendo didn't build a reputation with their hardware, they built it with Donkey Kong and Mario, which started out in the arcades and Game and Watch.
The only way to play their franchises, is on their own hardware. And THAT is how Nintendo turn such a huge profit.
They don't need to compete directly, when they annihilate the competition indirectly.
Nail on the head. How so many people do not understand this basic concept I do not know. People then start clutching at straws and throwing sales figures out there but big sales figures do not equate to massive profits.