I never even mentioned a Ledger wallet. I did own one, but I dont use that shitty piece of hardware ever again. But what you said is not true for the vast majority of hardware wallets. I dont know where you got the idea that I was talking about Ledger devices? I suggest you research a little more about how hardware wallets work.
How do hardware wallets work?
Hardware wallets, aka. cold wallets.We must be careful with the logic that we use, otherwise we could consider mobile wallets as offline wallets as long as we keep them then disconnected from the internet. Lol
Hardware wallets are cold wallets and with cold wallets, you sign a transaction when your wallet private key is not exposed to the Internet, and your wallet (cold wallet) is not online.
Let's learn more about hardware wallets and cold wallets, how transaction is signed by a cold wallet.