And no, he is not banned. The video is taken on 29 May 2019.
https://bf4db.com/player/1004415304070
As you can see when you search his name, he was banned a month ago.
As is only1shoot_godz the guy who was hacking against him.
Edit: I see you edited your post to say that he is not banned.....but a simple click of the link above will show you that he was banned one month ago. He may have been on an official server, or he may have been on a server that doesn't run bf4db, but he is banned by bf4db.