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.?
You already have given the answer to your question. If you have ever initiated a transaction from a wallet like Electrum and then turned off your internet connection, it will show that you have initiated a transaction, but it will not be broadcasted until you have a working internet connection.
Bitcoin wallets do not function like banks that have USSD codes for transactions to be done without an internet connection. The internet is a necessity for any transaction to be made online.