msk285 ok there are many reasons why things may not work the way they should. AAM is built on top of WordPress core functions and content management is one of the most tested features among others.
The most common reason why some of the Posts&Terms access options are not working is that custom themes/plugins choose NOT to use standard WordPress functions and query database directly. In this case, there is no way to hook into this process.
Another common issue is related to the way a list of posts is fetched. You can find more information about technical aspects of it form this thread https://forum.aamplugin.com/d/187-woocommerce-bookings-restrict-calendar-view.
So as you can see, to know for sure what is the problem, you would have to debug the theme and read its code to understand better how it works and what needs to be done to solve your issues.
Keep me updated.