I think maybe you’re meaning something different by “care” than I am. You seem to mean something like “important”. I mean something like “care enough to even ever bother thinking about it”. That there are infinite statements no one cares about by my definition doesn’t seem a problem, but in fact an important thing to know.
I think there are lots of propositions that can be phrased in English and that nobody cares about.
I think maybe you’re meaning something different by “care” than I am. You seem to mean something like “important”. I mean something like “care enough to even ever bother thinking about it”. That there are infinite statements no one cares about by my definition doesn’t seem a problem, but in fact an important thing to know.