Only when requested via special form I believe.
I should prepare a guide on how to take your data with you when quitting Reddit.
For instance when you want to be able to prove that it's your account without disclosing your legal name publicly on Reddit you may use keyoxide.org for cryptographic proof. I think I'll talk to keyoxide folks about a method of obfuscating those proofs so they are harder for Reddit to systematically delete.
I understand not everyone will be willing to go to court for this, but at this point I want enough of us to be able to to get them fined enough for every platform to notice.