When checking Special:Notifications page (at Aug 02 at 12:10 pm PDT) for messages that were received a week ago (on Jul 26), the date format differs from regular format.
Per @Catrope investigation:
moment().diff(moment("2016-07-26T11:00:00-07:00"), "weeks")
1
moment().diff(moment("2016-07-26T15:00:00-07:00"), "weeks")
0