"Generate Block For This Ad"

Is there, or should there be an option to "Generate block for this ad".

Lets say I don't want it to be in a named group.
Lets say I don't want it in the "default" group either.

Can I not just select "none" as the group and have the advertisement generate its own block using it's title instead of being under "ad_group:". And then can I target that ad to show up on only one page using the "Page specific visibility settings" for that block?

I can't seem to do it other than generate an isolated group, but that sounds counterintuitive to how the block system should work.