I didn't get any when I played, must be depending of the computer used.
The musics are a mere sacrifice to get to play the games officially in the remastered form on consoles.
I had 3 different pc's All of them had an issue with Sonic Adventure 2. Too be fair, my first pc was kinda trashy, but my current pc is pretty decent soo is frustrating to deal with the bugs introduced on the Steam Port, i am actually looked up an it turns out Sonic Adventure 1 and 2 had their port issues for years. I then modded Sonic Adventure 2, and i least i could played decently enough but in the end i Just end up emulating the Dreamcast Version and have a lot more fun that way.
Sonic Origins is a complicated mess, as i said i Still enjoy the game (They are Classic sonic at the end of the day) but to me is kinda sad the state the game was shipped. Today is not that bad, i admit that and even without Sonic 3 music i say is pretty decent. But is more about what could be the "Definitive Way" get butchered by some bugs, pricing and lack of effort/care by SEGA. (not the developers, they were forced to released that way).
Also as i said, de listing the ogs from Steam also sucked because they had no reason to do it. They just do it. And then they wonder why people rom share.