The various TLS libraries already agree on at least one thing: what certificates look like on disk (e.g. PEM and DER formats). There's no reason why some committee couldn't sit down and standardize a format for ancillary data such as the trust date cutoffs mentioned here. Then the TLS libraries would have to implement it, and return appropriate errors from their validation functions. This could possibly be done in a way without needing applications to also be updated, though that depends on how each TLS library reports validation errors.
But even if a particular TLS library doesn't have a way to express these errors properly, I think it's better to have a user confused as to why they can't connect to a site, than silently connect to a site "protected" by a certificate that shouldn't be trusted.