My partner (in this game), while good (and getting better), has an aversion to learning "too many conventions". (He plays with three other partners at various stages of beginner / intermediate and finds it difficult to play vastly different systems with different partners.) So, we don't play Lebensohl (in any form, under any circumstances), and without explicit discussion I wouldn't use 2NT as anything but natural here. And I might not even with explicit discussion (lest he forget and we end up in a silly contract). I agree with your assessment that we should be playing Lebensohl in many cases; alas, it won't happen.