Actually, Ed, it may hold up better.

With no data (if, like Amos, you mean reality), there's certainly no mind, because the mind is a part of reality.

With no data (contents of the mind), there's arguably no mind, even if the mind is in a separate reality.

That is, I suppose you could have some sort of "outline" of a mind with no contents at all, but that doesn't sound like a "mind."

Just a potential mind.