Though the Waynes' clothes are in surprisingly good state. I'm thinking it might be more charitable for Damian if someone were to take him to the side and explain to him, in a few careful words, how the Bats have something of a special relationship with death. (Damian. Honey. How do you think you got the Robin suit?)
I'm liking the idea that he'd wibble over wrapping his cloak around one of them.
Of course it's raining. When isn't it raining in Gotham? :D