>>11220683they technically don't "intersect". the geometric property is lost, because the translation isn't a "similitude". however, it's still a conformal transformation, so the algebraic property (equations having a solution) is still here.
>>11220543no. much like some other conjectures, we know at this point that it is "most likely" true, and we can assume it for many, many applications.
the proof isn't here to make us sure of that, but rather to know which "property" we have no yet discovered of the Zeta function makes it so, or which mathematical object we need to construct to be sure.