It would be interesting to know how you get on with Roberts. I didn't know they did welding. Most brazers think welding is the work of the devil and when you look at that failure they may have a point.
Having said that, it sounds as though your post has been the source of the stresses that have made the tube fail. If it's so small that it has to be mega-clamped, it means its only solid contact is at the very top of the tube and lower down it can move laterally against a fulcrum only just below the area of the tube damaged by the welding. The result is what we see. If the post had been filling the seat tube to minimise lateral play and the fulcrum was 5cm further down, that break may not have happened.
I'd be surprised if you get away without a new seat tube myself, but best of luck anyway.