Blocks affected

I have noticed that when a node has it's access controlled it affects how the blocks with "exceptions" are shown and it doesn't seem to matter where a block is placed (left, right, content etc).

For instance. I have the following scenario that I need to complete a job.

Login block: show only on "agents page"
Subscribe block: show everywhere except "agents page"
Agents node: (Content Type - Page) set to no access for anonymous.

What happens is Login doesn't show, Subscribe now does show and as expected the content is denied.

I need to keep my blocks setting they way I made them. Can someone tell me if this can be remedied?

Thanks