Inclusion per se cannot affect permissions; Compound names, however, can.
If I have a card named "Gerry+address" and its read permission is set to "inherit", then it will look up the read permission on Gerry to determine who can read the card. If Gerry's read permission changes, so implicitly will Gerry+address.
If permission inheritance were based on inclusions, then there would be no permissions, because you could grant yourself permission on any card by including it :)
So then the only way to achieve what I want would be through settings about what the search engine can return as a result and to what user group.