This would be the exact opposite of "making something people want". Ask your average sports fan how high they are on the NBA's below-the-basket floor cam or (even worse) the wavering camera that floats down the center of the court over the action.
I think it could make both these sports more fun to watch, but then I'm not a fan of either. It seems to me that a lot of people following golf and baseball are purists easily turned off by this kind of thing. I could be wrong.
I am a fan of basketball and football, and do know that the innovative camera angles introduced so far fail the pub test; whenever I'm at a bar and the TV switches to one, people either complain or say nothing. I've yet to hear any support.
Well, theoretically, if a ball was spinning around only one axis for the entire trajectory of the flight, then you could have a camera at the center of the axis and use some combination of gyroscopes / image processing to stabilize the image.
However, the axis on which the ball spins may change during the flight. The ball can also spin on more than one axis at the same time.
The combination of (1) the difficulty associated with determining which axis the ball will spin on, and (2) preventing the ball from spinning on another axis, along with (3) putting all this hardware in the ball without changing the physical performance of the ball, would make this idea difficult to pull off.
However, your idea might work if we're talking about still images. Then you only have to worry about creating a ball that performs the same as traditional air-inflated balls, but has a camera inside.
You would think that at the north pole the sky above you won't actually change, and that it would only rotate around you. However, if you stand there long enough (several thousand years), you'll notice that the earth rotates more slowly along a second axis. This is why the "true" north star changes over time.
Apply this to sports balls, and if there's more than one axis, it would probably be hard to stabilize the image with software. One second you're looking at the ground, then the crowd, then the sky, then the foot of the player, etc.
You could put several cameras in the ball, but since most balls are inflated with air - you'd probably significantly change the ball's weight by doing so. My guess is that there are very few situations where a league would be willing to play with a heavier ball.
You could also have one camera with just an extremely high frame rate, and then use image processing to select the few frames every second where the camera's actually pointing in the right direction. However, you'd still want the camera along the major axis, which would be very hard to predict before-hand.
My guess is that if you did this (with only one camera), you might get a few good frames, but not enough to create an actual video. Maybe that's OK - I could see you getting some stellar shots.
You might partially compensate for the weight of the camera by using lightweight materials (and paying the monetary cost) and by filling the ball with hydrogen.
Thanks, but no thanks!