I have some experience thanks to my Dad who died with Alzheimers and presently, my neighbour, who has the disease.
In my Dad’s case, during the phase of the illness when he was active he did wander off a few times, most memorably when he decided he wanted to walk into town for a haircut. No harm came to him apart from a rather severe scalping and the fact that he lost his expensive walking jacket. Eventually he was found, quite late in the day, wandering around the town when there were few shoppers on the streets. By visiting all the barbers in town next day we found his coat. Later as the illness progressed he ended up in care and wouldn’t have been able to wander off anyway.
My neighbour nips to the shops and at the moment is able to find her way home, a good thing because her husband is not well enough to go out to find her.
We never considered a tracker with my Dad, in any case he probably would have left it in his coat pocket. It would certainly give reassurance when they wander off and are late home.