But the hash would necessarily preserve the entropy of the password. A 256 bit hash is about as strong as a 32 character random password. According to the passw

But the hash would necessarily preserve the entropy of the password. A 256 bit hash is about as strong as a 32 character random password. According to the password haystack, that would take "6.22 hundred trillion trillion trillion trillion centuries" to crack in an online attack. If you choose to attack such a scheme by guessing the hash, then all passwords have that same level of entropy, even if the password that generated the hash is only 8 characters.