I'd agree - I not only used words but clear actions with my W. My actions were noticed by everyone around me; friends commented on my happiness, kindness, gentleness, my patience with W in the face of unbelievable lies and horribleness.
W's perspective? It was all an act. So my ACTIONS barely changed anything about me, let alone words/letters/etc.
Not to heap coals, truelovewaits, but I'm going with AS on this one. But what's done is done. If you sent it, and you can honestly chill out and move on, then maybe it's what you needed to do for you.