Yes, it works fine no matter which option I click on the consent popup. You may want to reach out to them and ask them about it.
The "your browser is unsupported" is a complete fiction the vast majority of the time since web browsers (at least the major vendors) adhere to a standard specification. What's most likely happening here, as it's often the case, is that this site is loading ads and/or tracking junk from ad networks like Google & friends that can detect your browser and then block you with a false reason to get you to use another browser (talking about anti-competitive practices).