Why doesn't every hardware wallet support the use of a seed phase + password? It seems like a really simple way to add a layer of protection in case the seed phrase you've written down is discovered. Right now, written seed phrases are like writing your bank account and log-in credentials on a piece of paper and hoping nobody finds it.
All hardware wallets I know are supporting passphrase that is acting like salt to seed phrases, and that is not stored anywhere on device.
Password is something different and that is usually stored in device, that means there is a chance for getting extracted and device hacked.
You can also use multisig setup to make seed words much more secure, and some hardwre wallets have new methods of protection.
Do modern hardware wallets like the Ledger Nano S Plus, Nano X, Trezor, etc. already support applying a password to seed phrases? Is it just a feature that's hidden and not promoted that much?
Hardware wallets you mentioned are not that modern like you think, and password in not as secure as you think.
Ledger have pin when you power on device and you can add additional passphrase later that is connected with pin.
Don't mix password with pin and passphrase.
One interesting new concept is used by Cypherock X1 hardware wallet device, they are not storing anything on device, and keys are split in multiple secure cards.