When I use integrated sametime client HCL Notes 12.0.1 I don't see if an author of message in Inbox or a person in Address Book is online.
@Mikalai Beliashou
Please open a case to have us look at this issue.
awareness in the inbox can be affected depending if you are using domino directory or LDAP
additionally depending on what version of sametime server you are running, then the configuration will change.
in 11.x you may be looking at settings in stconfig.nsf and in v12 there is not a config.nsf file
Please open a case with support.