The above quote was attributed to the French sculptor, Camille Claudel. I can sympathize with the notion. I've burned a lot of letters, as well as notebooks, sketchbooks, blogs-posts, photos...I've never had a problem destroying my own art. It takes a great deal of willpower to destroy letters sent to me, though. I still have birthday cards and letters sent by friends years ago.
There's something special about written correspondence. The feel of the pen across the page is an important element. I go to letter writing with the same spirit I go to a canvas or to a notebook. When I'm letter-writing, I feel like I'm crafting a work.
You real a great deal of letters when you study literature. The correspondences between authors and their friends, professional acquaintances and family provide much-appreciated insight into why their works. I gained a greater appreciation of artists like HP Lovecraft, Robert E Howard, CS Lewis, Kurt Vonnegut, JRR Tolkien, etc., etc., when I read their personal correspondences.
I recently joined a correspondence club, with the finally getting a chance to use the nice stationery and my fountain pens. I received a nice letter from a young woman in the UK. She likes geo-caching with her family and horseback-riding. I told her about the pine barrens of New Jersey, and sent pictures from a historical site in Pennsylvania. I appreciate the opportunity to share. Great experience, and a good opportunity to share art.