If I were having the conversation, I'd go the other way around. First sensitivity seems to gather up negative connotations. I'd talk about it as a richer awareness. And that richer awareness gives richer details to better inform a more capable mind.

But I don't think I would have the conversation, as a boy who was crying at little things until I was twelve, I wouldn't have welcomed any variation of that conversation. But if my DS6 asks, I would go the separate but complementary route.

It gets tricky, I give honest positive feedback to my DS when he is moved by something unexpected. I admire, support, and express value for his sensitivity. (of course this can sometimes this can lead to him hamming it!)