I think the quotes are meant to suggest that while paper is not really indestructible, it's failure mode in poor weather is much more graceful than an electronic device. Put the paper in a plastic bag and I know from experience that it will out last your touchscreen device in a down pour in the middle of the woods :)

Plus you've eliminated battery anxiety when the last thing you need is more things to be anxious about.

You also can buy Tyvek-like paper if you're so inclined. If I'm doing any serious hiking, I'd never depend solely on electronics.

I currently use Xerox "NeverTear" (https://www.amazon.co.uk/dp/B00JWLSZY6/) though there are several other brands readily available that I assume are pretty much the same thing.

I might try Rite in the Rain next time I need to restock (https://www.amazon.co.uk/Rite-Rain-Unisex-Waterproof-Copier/...) as it looks about 50% the price-per-sheet and is thinner (75gsm vs 95gsm) which may be better for the maps-folded -into-pocket use case. I am amused/confused that one of the keywords in the URL is "unisex".

Though at only a few sheets per run and most organised runs being cancelled right now, I won't be needing to restock for a while...

Check out Rite in the Rain, for example. It's impressive stuff; you can write ink on paper while scuba diving, even.

https://www.riteintherain.com