Because it doesn't solve the issue of password re-use, which is one of the biggest issues with less savvy internet users. People can still only remember so many passwords unassisted.
However, most password management solutions (other than a paper notebook) offer both the ability to store passwords by site, and thus avoid re-use, and the ability to generate suitable long and random passwords that meet various site password requirements, rendering the need to Diceware somewhat obsolete.
Also, given the number of websites that still keep getting caught out with bad basic password hygiene (not salting, not hashing, or inappropriate hashes), would you really trust everywhere that much to do this securely? If this becomes common practice we'll have a whole new vector of math.random() fun to enjoy.