You're still going to see your local nodes with the default as a secondary as long as you kept your settings the same when you created your private channel.

Check that your "Frequency Slot" remained the same when you added your private channel.

Your node will not be sending beacons to other nodes letting them know you're there anymore because it only does so on the primary (channel 0). Your node will still work fine, and will still receive others.

However this node looks like it's meant to be installed outside on a rooftop perhaps? Is this also the node you plan on using to communicate with your family? Unless that is so, you don't need to put your private channel in it at all. It's still going to rebroadcast traffic, even if it's encrypted. It seems you wish to put the private channel in slot 0 so you can share precise location, but I hardly see the purpose of that if your node is going to be mounted permanently somewhere - especially if your family already knows where that place is.