If you select 'No' for AA Menu Prompt (which is really saying no to the canned message), record a second of silence. If memory serves me, if you don't record something (silence or custom) when you choose 'No', it will revert back to the canned. Also, look further into the table to see if a CCR Tree is assigned.
If you are not using CCR, the caller hears the greeting assigned to the table first, then the AA Menu Prompt (whether canned, silence, or a custom one you record). If you are using CCR, the caller hears the greeting first, then whatever is recorded in the Home Menu under CCR (path 0), totally bypassing the AA Menu Prompt. The Home Menu is either a custom message someone recorded or silence under rare circumstances.