That is exactly my point. More fps doesn't give you better pictures, it just gives you more of them. Or to be more precise, it gives you more images that you delete so your keeper ratio is lower.
It doesn't lower the keeper ratio, it gives you more keepers and can sometimes give you a headache in which to choose.
You can do the same with lower fps but then there is a certain amount of skill and luck involved, high fps removes some of the luck especially.
Take baseball or cricket or hockey or some such sport. The ball is moving at such speed that milliseconds count.
Ask anyone that shoots pro sports with a 1DX whether they would switch for a high megapixel camera with an fps of 6 and they would most likely laugh at you. High fps makes it easier and increases your chances of getting a perfect shot compared to a good or great shot.
And I have no idea about shooting in video mode or using a 1DC. Those file sizes are insane and you would have to shoot the entire game to make sure you do not miss anything, it would be a night mare. Plus there are a lot of very strict rules about taking moving pictures (video) at sporting events (even if you promise to later on take stills from it. But it does not matter sports=more fps please.