I'm not sure which is best for you, or how established you are as an artist. But if the website is early days then changing the url/product name would be least harmful. Or just submit your own tunes under a pseudonym if it's royalty-free. I think my concern as an artist is that you might make it big and take back the domain name.
I think domain is not so important - the project can run with any domain even if I would take it away.
What I love about it is just that its short.
What I hate, that you can think its related to me personally. I dont want to be in the foreground.
What do others think about URL and Name - should we change it?
With it sharing your artist name, it makes me suspicious (I don't think you are doing this, but if I randomly stumbled across the website I would) that the goal is to promote mostly your own music, and create an ecosystem around that. I don't have a problem with that at all, but in my mind, it's a very different goal than Unsplash for music.
Wowa and friends vs open music platform.
Regardless, I think it's a great idea and look forward to exploring it more. If you do change the URL, please make sure this redirects, or has a link to the new site so I can find it again!