Had you taken the car out for a run prior to the video, or just fired it up after a few days standing?
If it's been standing for a while it might need to be taken out for a run to bleed it back up - as they get older the tappets can bleed down after they've been standing for a while. T25 petrol engines sometimes sound like a right bag of spanners when you fire them up, only to sound as smooth as you like after a quick spin.
Maybe switch to a thicker grade of oil if it keeps doing this, or replace the tappets now and check the condition of the cam, if the cambelt's due.