Automatic permissions: is it possible to give permissions from a value list value only to certain objects and not all of them?

Hi.

At a first glance it doesn't seem like you can select which objects will be affected by the same value list and its value's automatic permissions. Is it possible to restrict this only to certain objects?

Case:

Object A and Object B have a property Sector, which is a value list. Sector has a value Finance, which has automatic permissions on.

When Sector's value is something else than Finance, all users should see the object. When Sector's value is Finance and it's selected in Object A or Object B, access to these objects should be restricted only to certain users. However, for other objects that use this same value list and value Finance, the automatic permissions should not be inherited.

Is it possible to determine which objects are going to be affected by the value's automatic permissions? If it's not possible, what could be a possible workaround?

Thanks!