One of my students wrote a letter to Kate DiCamillo, once, which she answered with a very kind handwritten note. What Kate DiCamillo didn't know, because my student didn't mention it, was that my student's father was terminally ill at the time. I've often wondered if DiCamillo's books, which are mostly about resilience amid loss, were especially meaningful to her for that reason. In any case, the letter brought her a moment of joy at a time when she badly needed it.
So yes, everybody, write back to your young fans. Your letter may be even more significant than you know.