That is precisely why one or more emergency communication protocols are necessary. They need to be carefully designed to reduce the risk of infiltration by scammers. As with all forms of security, some level of convenience will need to be sacrificed.
I considered your examples to describe two different kinds of scenarios, which might merit different kinds of security measures.
1. Incoming communication from a young child (or a person who is very dependent on you): you'll probably want your phone line to stay fully open. Hopefully in the case of young children, this means that their parents are relatively young and will have grown up with skepticism toward incoming communication from strangers.
2. Incoming communication about a younger, adult relative. Maybe for many people, such communication could bear the introduction of a bit of slowness by security measures. Probably in most cases, there's little that the older relative can do for the younger, temporarily incommunicado relative. They might not need to get a message about them right away. In many cases, the message will be bad news anyway, something that the older parent can do nothing about. Such bad news can probably wait a few hours, even a day or two to be delivered, and it's not too bad for the older relative to be none the wiser for a bit, if such temporary impotence protects them from the increasingly present threat of serious, life-altering scams.
As with all security measures, there's a tradeoff between convenience/immediacy/cost and security. It will likely be hard to design reliable, secure, and accessible emergency communication protocols, but I hope (and optimistically suspect) that it's indeed possible. Attempting to design such protocols is a worthy endeavor for us to undertake, given how many of our loved ones are increasingly vulnerable to randos who have no business getting to their front door so easily.