Unique isn't a bad thing really. The trick is to regularly be unique in a different way. I'd rather each tab have a unique fingerprint than simply trust that there's nothing about my browser/device that could identify me. There is an ever growing list of data points your browser makes available and a lot of time, money, and research that goes into finding fingerprinting techniques.

I agree it's good to have a locked down browser for most things and other browsers for websites that you can't get working with everything blocked. Brave is worth a try before you hand your browsing history over directly to Google with chrome or to MS with edge.