In my opinion, no charts is the worst option, especially for the score charts where records would not bottleneck at a tie like ring stats. Both, charts without slots or with slots make competition in some form or another possible. There are plenty of other levels where players do not have much difficulty in tying the record. This is not a compelling reason to omit these charts.
Casino Forest is a special exception because I was not around when other slot machine levels were not permitted and could not voice my opinion to include those levels. I plan to set this precedent moving forward. I have also seen requests pop up, buried in the history of the forums, to add casino level ring and score charts for various games.
P.S. I know this is nitpicking but Sonic 2 2013 has casino level charts for rings and scores.