I have watched and rewatched that video multiple times now and I am sorry to say I am still uncertain on where the blame lies! I think you might have trouble making your claim stick if you go down the insurance claim route, the video 'evidence' does you no favours.
The road/lane you are traveling along is narrow (hence no centre markings) and there is a big SLOW sign painted in the road just before the junction where the collision occured. Despite this, unless it is a trick of the camera, you appear to be travelling at a fair lick and don't seem to slow down at all even when you reach the busy junction. You then proceed to aim for a gap that is much narrower than a car width without considering the vehicles intended actions and without slowing to check if you are actually seen by the driver and it is safe for you to proceed.
The incident is at best 50:50. The driver is in an awkward situation, it is a sharp turn and it is simply not possible to look into the road he is entering (i.e watching where he is going) and simultaneously watch for oncoming traffic approaching at excessive speed. Their driving does not look negligent or hasty. I'm not surprised the driver suggested you approached too fast.
Having said all that, the developments since the collision are making alarm bells ring, so if you intend to pursue your claim I would suggest you do so via the official route because I suspect any attempt to settle privately, off the record, will end in frustration!