FWIW since I've been going through and updating them, but I've been keeping up lists here for every "HOF" gimmick that each MLB team has, including number retirements and statues in and around the team's ballpark.
The vast majority of holes in the lists are obviously non-uniform personnel. Executives, broadcasters, PA announcers, clubhouse staff, etc.
There is however ONE player who is completely MIA from this site. Granted its an 1800s American Association player, Will White. So its probably understood why he's not represented in these databases. But the Cincinnati Reds did induct him into their HOF back in 2004, despite pitching for them from 1878-1880 and again in 1882-1886. Also notable is that in my list of players who have accumulated 200 or more MLB wins, he is the lone one missing from these databases as well. What can you do!
https://www.baseball-reference.com/players/w/whitewi01.shtml