The accounts, descriptions, data and presentation in the referring page (the "Materials") are proprietary content of MLB Advanced Media, L.P ("MLBAM"). Only individual, non-commercial, non-bulk use of the Materials is permitted and any other use of the Materials is prohibited without prior written authorization from MLBAM. Authorized users of the Materials are prohibited from using the Materials in any commercial manner other than as expressly authorized by MLBAM.
I didn't say something awesome meant a business. Think of all the generations of baseball fans before us. Games were only seen live, then heard on the radio, then on TV, then on the internet, then on TV in HD and now finally every pitch of every game is tracked and available in an XML feed. This is the future that baseballs geeks of all times have wished for.
Actually, I found the words "individual" and "non-bulk" more interesting than "non-commercial", but, then again, I never know what these legalese words are supposed to actually mean; each of the sites you link, for example, seem to make bulk, non-individual use of the data.
It's vague, but that's par for the course with pro sports. Note that when you watch a sporting event these days they warn you that even describing the game without expressed written consent can violate copyright.
I'm pretty sure you're misunderstanding the statement read at the start of the game; it's saying that the accounts and descriptions performed by their hired talent are copyrighted, not that you can't describe it yourself.
The accounts, descriptions, data and presentation in the referring page (the "Materials") are proprietary content of MLB Advanced Media, L.P ("MLBAM"). Only individual, non-commercial, non-bulk use of the Materials is permitted and any other use of the Materials is prohibited without prior written authorization from MLBAM. Authorized users of the Materials are prohibited from using the Materials in any commercial manner other than as expressly authorized by MLBAM.
http://gdx.mlb.com/components/copyright.txt