Quote from: Hatchy on Today at 05:48:18 PM

While they also generate different child public and private keys using the output descriptor, you cannot export a single child private key.

Quote from: DesmondHayes on Today at 06:39:49 PM

while descriptor wallets prioritize security by not allowing the export of individual keys.

No, that's completely unrelated to descriptors, I don't know why the both of you latched onto that at all,

If Bitcoin Core had switched directly to BIP 44 style derivation paths without doing descriptors, I would have also advocated for disallowing the export of individual private keys. The security issue there is with how BIP 32 unhardened derivation works which existed long before descriptors were a thing.

A HD wallet is a wallet where the keys are derived in a reproducible way from a single source of randomness known as the seed. The most widely used method for deriving such keys is BIP 32. Since the seed is fairly small, it's easy to back that up and be sure that, in theory, you are able to re-compute all of your private keys in the future.

However, HD wallets make no mention of the type of addresses to create, nor do they specifically state which private keys you are actually using. These change on a wallet by wallet basis. While most wallets follow various standards for choosing which keys to derive and what address types to make from them, just having the seed and knowing that your wallet is a HD wallet is not enough to recover your funds.

Descriptor wallets expand on HD wallets by storing Descriptor strings which specify the keys and the address types to create. Descriptors utilize BIP 32 so that BIP 32 keys and derivation paths can be contained within them to specify the specific keys to use without actually enumerating all of the keys. Descriptors further introduced the script expression notation in order to specify the type of script, and ultimately the type of address, that a descriptor can create. Thus a descriptor is a more complete backup and leaves nothing up to guess work as it specifies both the exact keys to use, and the addresses to create from them.

Descriptors is intended to be a more general notation, so it is also possible to create descriptors which contain just private keys with no BIP 32 derivation at all. They can also be used to represent raw output scripts for cases where the script is nonstandard, and they can be used to create complex arbitrary scripts through the use of the MIniscript language.

Since Descriptor wallets can include BIP 32 derivation, descriptor wallets are basically a kind of HD wallet. But really, they are a superset of HD wallets since they do a lot more than just managing private keys.