There being no transaction history is good (less data/more privacy). Not sure how it's easy to lose. At least I have never lost my cash. And if you lose your wallet for some reason, you also lose your CCs. There is "often" fraud with CCs, with cash that rarely happens, unless it's counterfeit money. Also not sure what you would do with the money that you would damage it. Usually, it's in your wallet or somewhere stored.
Promises that the money will be worth it the next day, sure. But at least I have my cash in my hand (and some stored where I live), so access to it can't just be denied.
Depends on where you lose it. If it's in/at some place where you can buy something, people usually bring it there and you can get it back as soon as you notice. If it's the whole wallet, it's even easier (would be true for CCs then as well). But yeah, if you don't get it back, then it's gone. But to be honest, if I lose like 100-150€ once in 80 years because of that, then I can take it. I never have more than that in my wallet, unless I intend to buy something. (And that's also another benefit. Cash prevents against impulse buying and you spend your money better (you visually see how it's shrinking etc)).
Promises that the money will be worth it the next day, sure. But at least I have my cash in my hand (and some stored where I live), so access to it can't just be denied.