If you can’t remember what approvals you gave earlier, it’s better to create a new wallet on your airgapped device and move your funds there.
Make sure to back up your seed before doing anything.
The right question is if a particular wallet actually connects to online even once does that device from the start stands to be called an airgapped device?
When OP mentioned the word “airgapped”, I assume they are referring to a hardware wallet (even though hardware wallets aren’t truly airgapped). Using a hardware wallet to approve smart contracts does not change the fact that it still functions as cold storage..
The main issue is that it could have been used incorrectly, especially with the type of approval signed, which can later lead to funds being drained from the particular wallet. So the safest option for OP is to move funds to a new wallet if they don’t remember what was approved.
This is the closest assumption based on how OP described the situation, but it could also be different.. example, OP might have first used a hot wallet to generate the seed, approved a smart contract before importing it into a HW wallet. In that case, it wouldn’t be true cold storage because the key was already exposed to a device that connects to the internet . I think that’s what you meant below:
An airgapped device is actually that device that has never and will never connect to the outside world (network), the In capabilities to actually connect to network is what is called an airgapped device.
So if the user has connected his device to any network before then it shouldn’t be called an airgapped device again