He is perfectly entitled to be where he is. But his positioning does have a bearing on the incident. He starts his overtake with the road bending away from him slightly reducing his vision round the bend. As he continues the traffic on his left is right on the centre line, leaving him no escape route. He is perfectly entitled to filter on the right, and the taxi driver is a knob. Had it been a larger vehicle HGV or Bus his options would be extremely limited.
When hes going round the corner he has barely passed over the centre line with the cars far enough left for him to go back over the line. The point where this stops being possible is after passing the silver car nearly on the white line. Escape was always possible as the cars were not bumper to bumper and if need they could cross over the line and into one of them gaps between the cars.
Looking at the taxi it does seem that he moves right to come into conflict in which case causing a incident which would not have occurred given a normal driver however I have also taken into account the camera and moving round the bend go lead to this interpretation. However looking at 0:19 it looks as though the taxi is heading over or inside the white wording, at 0:09 its looks clear that his position is more right than it was before.
Without a HGV being the prime cause of this incident I cant effectively argue if the situation would be any different but based on the width of the road I lean towards not.
I would argue the Taxi being a nob played the greatest factor to create this situation than the position of the cyclist.