Thanks to @Mtarch11 , we noticed that CA is completely wrong (for example, from here, it doesn't show itwiki sysop flag), while from here, it doesn't show both itwiki CU and sysop flag (but from local page it shows the local flag).
Plus other flags are totally wrong (like some invented autopatrolled or 'crat flag on other wikis)! This is happening for other users and other wikis too!
Do you have any idea what's going on? Thanks
EDIT: Here are some screens