That's an assertion. Validate it, please. "right after" is pretty vague.
"Short final" in aviation terms means the last few moments before landing. Less than a minute.
(Bold mine)
After the fly-by, we landed at Filton airfield, where Concorde had also landed. I took other photos of it being towed into its hangar with the pilot waving from the window.
In other words, the helicopter went back to Filton after the fly-by, but the Concorde was already there, and not just touching the ground, but done with taxiing and being towed into its hanger.
To me it says the plane landed right after the fly-by with the helicopter. Unless the helicopter continued flying around Bristol for sightseeing. But I prefer the Occam's razor explanation.
The alternative scenario, the one you seem to be advocating, is that the plane was ascending at a sharp, almost 45 degree angle, at a supersonic speed. If so, the plane would have had to make a very wide circle around the airport (it doesn't have the maneuverability of a fighter plane after all), slow down and descend again. That's possible, but coupled with the fact that it landed well before the helicopter, I'd say unlikely.
For your scenario, you need two assumptions to work: the plane went for a wide circle and the helicopter went sightseeing. Possible, but unlikely.
