visibility of a view based on current node field
Just add another filter on the parent node relationship for that current field.  Not sure on what field is what for you but it seems you have all the relationships added into the view based on the parent node page?

Just add another filter, select the field you want to check, add the parent node relationship and make sure its NOT EMPTY.

If you just have the contextual filter as a nid, add a relationship to that nid so you can get access to the parents fields.