Biological Miracle – Wood Frog

Evolutionarily, amphibians are somewhat simpler than mammals, they're smaller than a lot of mammals and they don't live as long, so I suspect some of this is simply that "things that aren't there". They wouldn't have as many problems with advanced glycation end products because the temperature is so low. There's at least one other ice survival strategy: antifreeze proteins. The fir tree and a variety of arctic fish have these: https://pmc.ncbi.nlm.nih.gov/articles/PMC6691018/.

In all cases, I still don't understand how the membrane potentials are maintained or re-constructed in the thawing phase: any pointers?

Perhaps because ice forms outside cells, freezing ions in place. Even if there was a very small area around ion channels that was liquid that equalized all ion concentrations with the cell, when the extra cellular fluid thaws the original concentrations would be pretty much restored

I think there are threads in Michael Levin's work that suggest membrane voltage potential may be able to be 'encoded' to microtubule structures and converted back into voltage potentials later. I don't think it's firmly established or understood yet but seems like a promising area for research!