I believe this is not a safe practice so I prefer to spend more on ETH gas fee, move the tokens out of my hardware wallet into a spare wallet connect the spare wallet to the website swap to the new V2 token, and move the new token back into my hardware wallet.
You can have a spare wallet for tokens so as not to incur too much fees while sending back and forth. Keep those speculative investment permanently in that wallet and your funds you will want to better protect in a different one.
Nothing must confuse you to connect your main wallet to any platform even if it's the real platform for token swap, because you might think it's safe and these people have their ways with your hardware wallet later on.
The platform can also be legit but get hacked later on. You will be opening a security risk that you cannot control or protect against.
- Jay -