It's safe to use hot wallet but there are many flaws in it if you make a mistake because as long as you are connected on the internet, there is risk of losing everything you have on it. Like OP said, check history of people that loss their Bitcoin, they did with devices that are connected on the internet, not from hardware wallets.
It's not safe to use a hot wallet, unless you're using a watch only wallet of which the Master private key is absent from it. Hot wallets can be vulnerable if your device is attacked, cold storage is always better.
Yes, you are right about Hot Wallets being insecure because it depends on how secure your device is and how you manage it.
Actually, if it is said whether it will be safe for all including cold wallets, it is also uncertain, but the advanced security that cold wallets have is indeed better compared to hot wallets.
Then are cold wallets always safe? The answer is certainly not because there are several hacks that have occurred related to users who use Cold Wallets
Like Trezor which a few months ago occurred a case of hacking BTC Assets owned by Trezor users with some application manipulations carried out.
https://coinmarketcap.com/academy/article/musician-loses-dollar420k-in-bitcoin-via-fake-ledger-appThis makes Cold wallets also insecure and depends on who uses them, because Cold Wallet hacks usually involve
the invigilance of their own users because the weakest and easiest to manipulate are the users.