In my mind, the question you're trying to answer is whether or not a standalone CV on a website is better than a LinkedIn profile. I'm not sure of the answer to that, but I would lean towards it isn't more valuable in a standalone fashion.

However, I added my CV to own personal website so that it can viewed by people online who come across my website through my blog posts. The intent being that if they enjoyed reading my content and wanted to learn a bit more about me, they wouldn't have to jump over to LinkedIn.