The hall of fame shouldn't just have the name of the person but a good well thought out description of the character.
For example, the newcomers may not know who this "Saturos" person and would find it odd to see their name on the hall of fame without any clear explanation. Also the reason of "S/He was a BAT" shouldn't be the only reason to see people up there, we need to see why they were so fantastic as to add them to the hall of fame. People who were #1 for quite some time could be considered for example, people who helped add to the game should also be added as well. People who were praised during their time around the osu forums also should be considered as well. In my opinion, Hall of Fame should be a place that's slightly different than the Alumni page as in it should feature people all around that have done work above others and made an impression in this game.
In short: A person shouldn't look at the hall of fame and think "These people are important to me because this guy told me to". They should be able to see the reasons why they were selected and think "This guy is awesome because he did this in the game".
Also, do we have a selection process for this? Nominations or something? Feel like that's important too.
To me alumni are people who made a significant contribution to development and improvement of the game itself, while hall of famers are remembered for other things. Anyone who did enough to be considered legendary should be added, including players and forum-goers and not just mappers.
I think voting, nominations and selections should be done by the BAT/MAT, alumni and hall of famers, and of course peppy and his team of devs