I believe that WIS recently said that one thing that would be in an upcomining update (if we ever get another one) would be AI voting for the HOF, similar to the AI voting that happens for MVP, CY and ROY. If you don't explicitly vote, then the AI votes for you.
For that to work, they would have to give HOF voters the option of "none of the above" to differentiate between not deeming anybody worthy from not bothering to cast a vote.