Two major differences:

1. Crypto doesn't have an institution like a country capable of and interested in maintaining its stability.

2. Swiss bank accounts weren't even Swiss bank accounts in the end. They were eventually regulated thanks to international pressure.

In this way it's a tradeoff. The last few years notwithstanding, crypto isn't the sort of thing you can buy and forget about without risking a major price decline of the sort you see from time to time in, say, precious metals. On the other hand, unlike a Swiss bank account, you can control your own level of security if you do your homework, and you can do more interesting things than just store value, like own and operate blockchain assets.