It has been quite a few years for some of these but certain trackers on emblems have not been counting or progressing at all for multiple years. As it shows on the images attached, the API data from Charlemagne shows the true number, which has been updating at 110,000ish motes deposited. The in-game emblem tracker has been stuck at that 20,000ish motes deposited for years. A few others, such as Primevals Defeated, also are not updating.
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Thanks for reporting. The team is already aware of this issue and it is now being investigated.