The League does not count the sectional matches* 1898-1900 where the results produced two sectional ladders to determine the finalists nor the sectional matches 1901-1907 where the results were added to the existing ladder to determine the "final four" as "finals". The true Round Robin series in 1897 where the top four all played each other once (as was also the case in 1924) are counted towards each participating club's tally of finals series. Participation in sectional matches are not included in the tally.
Ah, I rejigged my database after one of your previous posts on this subject to differentiate sectional matches from h&a. My query was a bit lazy and kinda mushed them together; hence, whilst being too polite to overtly point it out, you are correct in implying the second table is rubbish, so I've removed it.
Have re-checked the first table, which is correct. No player who participated in the round robin finals of 1897 or 1924 played more than 8 finals in his career.





