the only reason i bring up the distinction btwn cryptography and hashing is for what i believe are public perception issues.

to me, the more we can describe Bitcoin as being based on "mathematics", which more aligns with the broader concept of hashing, the better it will be perceived, as opposed to being based on "cryptography" which is not only hard to understand but possibly convey a negative perception as if we have something to hide.

my two cents.