If you use Chrome, or many of its derivatives, you can log into the web browser itself, and many people don't even know they are doing so. It can leak a lot of data, more so if you use the 'sign in with…' feature on many web pages. On a phone, if you're logged into the phone OS you're logged into the included web browser, and an aftermarket web browser may still leak information from your phone login.

I don't log my phone OS or web browser into any accounts, so I don't have to worry about LinkedIn making fake profile pages, but Cloudflare pretty much always assumes I'm a bot, so there's a bit of a downside. Honestly, I'm probably better off not visiting most of the web pages it blocks me from.