Full disk encryption affects remote wipe ability? Android's FDE affects remote wipe effectiveness, say, with Android Device Manager?

What I mean is this:

If one does not have system encryption enabled, to safely wipe all your data would require overwriting all your data. One would think that having full disk encryption enabled would allow wiping by just erasing the encryption keys. Is this so?
I think you still would be able to remotely wipe it as encryption only as the name says "encrypts" the data. That means that after provided a password the file will unlock itself for read, but this doesn't affect deletion :)