The U-2 proved more useful - feed the flames!
The US binned the SR-71A but kept the developed U-2 instead. The reasons were that the U-2 didn't attract as much attention in operation, was a darn sight cheaper to operate, and could be flown off USN aircraft carriers for true global reach. An added bouns was that it could be modified relatively easily with add-on recce pods to suit the tactical recce role as well, whereas any change to the SR-71A was a major redesign exercise.
The Valkyrie was a technical step too far, where the Americans were unable to create what they thought they needed. Interestingly, the Soviets used pretty simple brute-force tech in the MiG-25 Foxbat to get perfromance that would have rendered the Valkyrie pretty ineffective anyway.
In comparison, Concorde was a technical success, and it used a lot of knowledge gleaned from the TSR.2 program and nothing to do with the Valkyrie failure. The TSR.2 was also a major technical success and would have been largely immune to the MiG-25 (the TSR.2 was designed to operate at very low level below the MiG's radar), but it didn't need the Soviets to kill it, just moronic politicians like Duncan Sandys and the interference of the F-111 salesteam.
The General Dynamics salesteam (led by Lord Mountbatten in the UK!) managed to convince governments that the F-111 (another US aircraft that didn't deliver) was a cheaper and better option. The Australians fell for it hook, line and sinker, and had to wait years to get an aircraft that was half as good as the TSR.2. The British Government gave up on waiting and the RAF eventually used subsonic Blackburn Buccaneers (which regularly scored higher than F-111s on NATO Red Flag exercises).
For recon, the RAF just carried on (and still uses) modified Canberras, not bothering with the U-2 or the SR-71A. Actually, the Canberra was so good it was license-built by Martin as th B-57 and much used by the USAF in Vietnam (and the Australians, who were still waiting for the F-111 to work....).
So, I make that a clean sweep for the British aircraft industry over the best efforts of the Yanks! :P