It's ok to remove it. One consideration these days is whether it makes much difference with online public content. If it is out there these days, and people can zip and password lock, email etc, then it's all out of control already. This usually includes vids as well.
Certainly ok to remove it now or later though - due to the law. These days, the main thing is just to not use it illegally for commercial profit making - such as advertising a product and using his music. But on the other hand - if brad relies on profiting through youtube, where his vids are exclusively on youtube, and youtube relies on making money from its own commercials that they shove on us, then that could be another reason.
Nobody knows why brad didn't denoise in the first place. Interesting. We could say that we did that audio a slight favour, and also fully respecting brad.
If it's a no 'but' situation, then I support removing. No problem with that. At least we momentarily enjoy hiss/noise free, which is nice!