* if an address was spent from is, at least in theory, less secure than one never spent from. I don't know the theory that well and from my understanding such exploits won't be available for many years to come (maybe depending on QC too), or at all, still, I don't like it.
True, but if you are using a seed phrase as a paper wallet as I do rather than just a single address, then you do not need to reuse addresses ever.
I'd prefer to call it cold storage or offline storage, since technically it can be generated a variety of different ways, and you don't even need to have the seed or private key written down on a piece of paper, which could actually be less secure than other methods.
The problem with the terms cold storage or offline storage is that many people use such terms to also include things such as airgapped devices, encrypted USB drives or SD cards, or even hardware wallets, which are all very different things to a paper wallet. Perhaps the term "non-digital" or "non-electronic wallet" would be better? Not nearly as catchy as "paper wallet", though.
For example, some users might actually prefer to generate the wallet offline, and keep the seeds digitally offline too. That might not be the best option for a variety of reasons including, but not limited to fire, water damage, hard drive failure or whatever might cause the loss of the components of a computer.
Offline is the
only way you should generate your paper wallets, but if you continue to store the wallets offline but digitally, then it's not a paper wallet; it's an airgapped wallet with a paper back up.
In other words a paper wallet is a wallet that you don't want to access regularly, or maybe even access it once a couple of years from its creation.
I still find it preferable to use a seed phrase. Even if you are never spending from the wallet, a seed phrase allows you to top up the wallet with more funds whilst still using new addresses to protect your privacy.