The times I have asked I have not received a response or the response I got was generic and dismissive, rather than helpful which is what I was hoping for.
I'm guessing the lack of a response is because:
1. They don't feel they have to justify their decision. 2. They don't want to get into a dispute/nit-pick. 3. They are just bad hirers and don't know how to provide adequate feedback. 4. They are trying to hire someone, not help people they are not hiring.
Conversely, when I have turned down an offer those companies have never asked me why.
- James.