You sleep better If your money in your private crypto wallet you know exacly what you have in wallet and you can get access to this 24/7 when you need.
One can argue that when you have your money in cryptocurrencies, you tend to be more worried since they are volatile and can lose value over time unless you are holding them in stable coins, which doesn't make sense because stable coins are pegged with fiat currencies themselves, whereas fiat currencies might lose purchasing power but looking at your assets, you will still see the same value over time.
People who are pro-fiat will never agree with something like cryptocurrencies giving you the freedom of keeping your assets to yourself only without any third party having access to them, because they don't believe in such concepts. They will mostly argue that banks are much safer than any non-custodial wallets, because they have been around for decades if not centuries and cryptocurrencies are barely a couple of decades old.