Ok, so in a working scenario one tech receives 3 emails. But for some reason one technician receives only 2 emails in similar case, because the notification 2 (assigned to a group) is not delivered. This problematic user has exactly the same rights on SD, and belongs to the same groups and and Sites. This problematic user has been created later than the other 3 techs.
Where to start troubleshooting?
Below are example pictures of working and non-working email notifications.
Working (all 3 messages delivered):

Non-working (group message is missing):