Salt mines in particular are of the safest kind in the whole world, they are super stable. It's a self supporting rock with enough plasticity that the whole thing doesn't crumble down.
If you ever have privileged info of a huge earthquake happening, going into a salt mine is probably not the worst idea.
Plus it rehabilitates your lungs to be in a salt mine for a long time.
The only earthquake that happened in the region I am living during my lifetime was caused by a collapsing salt mine, though. (Small magnitude. I only heard about it because I was working at a particle accelerator lab at the time and the machine crew observed some beam instability caused by the ground vibrations, so they talked about it.)
Not a terrible idea really: Victorian times were also when the industrial revolution was happening, and unregulated coal plants and factories were belching out unimaginable amounts of pollution into city air. Getting away from that mess and breathing clean air probably was good for you if you had health problems.
The joke is they send people someplace else, and when it doesn't work they send them back. Guessing most city dwellers could not afford a doctor or resting up on the countryside or beach.
I believe it's a disservice to science to say something doesn't work when there's not enough data yet. I know of a few cases of mines with many people swearing by them and the research I've read said "inconclusive, needs more research", not that "it doesn't work". There's meta studies available: https://pmc.ncbi.nlm.nih.gov/articles/PMC6435215/
Salt mines are safe as long as you are careful to keep water and salt separated. If people operating a mine (or maintaining a closed one) are negligent or incompetent or under-invest into maintenance bad thinks can happen, especially in a wet climate - water will dissolve salt and not only in/around the mine itself but in underground salt layers connected to the mine which can span tens of kilometers away from the mine.
But then I wondered if modern mining engineering is a solved problem? In that they mostly know how to make safe tunnels?
Then I looked up how deep Erie is and it’s pretty shallow, with an average depth of 62 ft!