If non-uniqueness means "there are others that look like you", it is clear that giving them less identifying clues makes things harder.

The question is how to do it tho, because some things might actually be useful: if your browser tells the site you prefer dark themes the site can react and display your prefered color scheme. If the browser tells the site how big your viewport is it can give you a site that fills that viewport neatly — and if the site can do these useful things it can also track you using that info.