As for backing up money, I do this regularly. Indeed I use my backup more often than the notes that I use to make the backup. Sometimes I don’t even bother with banknotes, I just get the money over the network from someone else. I think people even make a profit from distributing other people’s money in this way.
If I remember correctly, these networks are called “banks”.
I’ve long enjoyed the convenience these “banks” provide, but I now realise that they will destroy our society’s supply of money. Clearly they must be outlawed immediately and their operators imprisoned to serve as a warning to others who would threaten our economic wellbeing.