Being written down is not what makes something information, so I'm not sure why sheet music would be any more information than recorded music.
You're arguing for the existence of a soul.
Yes an MP3 is literally and pedantically information, however it also has an additional worth to me that I find rewarding to pay for. I believe people who enjoy music but use this argument to acquire it for free are deluding themselves.
1) Information wants to be free
2) Everything is information
... I don't think we can have a useful discussion.
I thought I detected you heading in that direction. Yes, people do try to make that argument.
Sheet music is like an instruction manual. Follow the instructions, you can make something. I consider instructions to be information. Recorded music, on the other hand, is a performance. A performance is art, while sheet music describes art?
I don't have technical definitions, this is just how I see it.