It's like there are three topics and you mix them all, different wallet have different advantage and disadvantage, different risk and different way to make it secure.

From your thread, any kind of wallet is not safe, this will make people confused which one they should pick. Cold storage is safe because it's offline, which is correct, but you mentioned if hardware wallet might be vulnerable too, which is also correct. But any problem has a solution, you didn't show the hardware who're not vulnerable.

Example this one ESP32 chip who used by Blockstream's Jade, the other hardware wallets e.g. Ledger, Trezor or Coldcard are safe.

Not really, there could be false positive or false negative to happen.