Heh, sure, but are you going to teach your dog how to use the InReach Mini? I had a previous Garmin, worked reasonably ... if there was a cell signal. The battery died, Garmin wouldn't sell me a new one, and the replacement unit increased the monthly cost by 3x.
With APRS I can find my dog, no monthly, and in large outdoor areas APRS has MUCH better coverage than cell.
It's a much better tool for the job. And unlike personal locator beacons it can also handle short personal messages. And it's far from $1000 (around $300 and the service from $15 monthly) and really portable. For real emergencies a PLB is arguably better (and doesn't require a paid subscription) but you have to be conscious to activate it. The Garmin can send regular breadcrumbs without triggering an emergency so they will at least know where you were headed. If you are conscious it also allows you to communicate with the rescue operators.
Ham radio is great but not meant to be reliable. It's about experimentation with technology and the sport of making long distance connections. It's not about a reliable rescue service even though it is very useful in emergencies.