I think I might be the odd one out....
But I actually liked the first song better. Yes, it felt unfinished, particularly concerning drums, but it had a better feel of what the song originally was. Or maybe because I just don't think of slow and jazzy when I remember Diddy Kong Racing. Though I did greatly enjoy the wave sounds and the brass in the second song. But I just did not like the second song at all around the 2 minute mark.