There are many teachers who don't teach their students to read music, don't provide fingering charts to each student, and make them write note names and finger numbers on the music. They seem to think that this will help them play pieces faster, but in the end there's nothing to be gained from it.
There are also some troublesome teachers who write finger numbers and note names on the music score and then copy and distribute it, but students will never be able to read music that way. This kind of method of "just doing well in the actual performance" can no longer be called teaching. Always teach while thinking about what and who the band is for.
I often see note names and fingerings written by someone on basic practice sheet musics that have been used for years. It is also common for students to have sheet music with fingerings and other notes in their music file. I think the best way to do this is to get rid of any vestiges of bad habits and create new habits from scratch.
I have seen many times in the same band that all the students memorize the more complicated woodwind fingerings because they cannot be written on the sheet music, but the brass students do not memorize them because they can be written easily.
I have also seen many students smoothly write down the finger numbers on new sheet musics.
Thinking that they don't need to memorize them because they are easy to write, or that they have memorized them but cannot play them unless it's written near the notes, is simply a matter of habit, and if they leave such bad habits alone, their sight-reading ability will not develop.