Both, clades and traditional taxa (TT) can be objetively defined.
Say, a TT could be defined in terms of it content - list based taxon. It is objective. A TT could be defined in terms of characters - character based taxon. And so on. It could end up to be paraphyletic or polyphyletic, but its definition will remain objective (otherwise nothing without evolutionary history - planets, atoms, cars, climate, etc - could be objetively defined).