If one player changes the sorting option (count/tags/name/mod) this change is not reflected on the button for any other player. Sorting works for all players according to the newly selected option though.

Some testing:

• closing an reopening the chest doesn't change anything
• the actual sorting changes immediately for all players, so if one player changes the sort order another player can sort by that order without reopening the chest
• re-logging to the server fixes the display issue

Versions:

• sophisticatedstorage-1.21.1-1.4.38.1166
• sophisticatedcore-1.21.1-1.3.50.1004

Modpack is FTB Evolution.