The internet isn't built on Chrome. The worldwide web (www) might be geared towards the Chrome browser because some Product Managers decide that's the default browser their company's website(s) should support, but the www != the internet.The internet is built on Chrome and has been for some time and Safari isn’t OS agnostic so no reason to list it. Honestly though, any website that displays that is usually outdated and will probably still work.
Anyways, back to the point. If I see such a message on a website, and that site isn't 100% necessary for my life, I never visit it again.