There is no security in using hot wallet because they are custodial wallets, you don't have access to the wallet private keys, you don't have your privacy and the exchange or mobile wallet could be hacked and you cannot recover your bitcoin back since you're not having any private key details with you, lastly, not your keys not your coins.
It seems that you are wrong. A hot wallet is any wallet that has access to the Internet and direct or indirect communication with the blockchain. But this does not mean that all hot wallets are custodial.
If you're interested in using hot wallet, there's more danger in it than when you're using a non custodial wallet, you can only use hot wallet for a short time trading or exchange of currencies, but as for your storage of asset, its not a safe zone for use.
Now it seems you're actually talking about wallets from exchanges. They are indeed custodial, but not all web wallets are custodial.