Homepod showing up on everyones devices

Yes, I see other posts regarding this but none say how to resolve it, other than hiding for "guests." We have 4 people in the house, 3 are on the same family plan, one is not. We dont want this showing up, or visible, on *anyones* device other than the person who uses.

Is this possible, or not? Please let me know so that we know whether we have to bring this back or not.

Thanks.