These methods involve using hardware wallets, QR codes, or mesh networks to facilitate transactions offline, but they still require an internet connection at some point to broadcast the transaction to the Bitcoin network for verification and confirmation. Or what's your take on this.?
Hardware wallets are made for the security of your Bitcoin. You are correct that to broadcast a transaction, you must have to connect the internet but that doesn't connect your hardware wallet to the internet. I think you are in misconception. Hardware wallet provides safety for your private keys. With a hardware wallet, you actually sign a transaction which can be done offline. Signing a transaction doesn't require you to be online. Broadcasting that transaction requires you to be online but that doesn't put your private keys at risk. I'm using the Safepal hardware wallet. It requires me to scan qr code to sign the transaction. For your info, my hardware wallet doesn't require an internet connection so my private keys are safe. After scanning with qr code and signing the transaction, I broadcast the transaction in the app which is online. I hope you got the differences here.