I'm not clear what you mean by "better pressurised"? If you mean the cabin altitude, one of the advantages of Concorde was that the cabin had a lower cabin alti

I'm not clear what you mean by "better pressurised"? If you mean the cabin altitude, one of the advantages of Concorde was that the cabin had a lower cabin altitude than other airliners, then or now. Concorde cruising supersonic on dry power was apparently due to the variable intake ramps (https://www.heritageconcorde.com/air-in-take-system https://www.heritageconcorde.com/air-in-take-system), which presented compressed subsonic air to the compressors at supersonic speeds, bypassing excess air. This reduced the work that the compressors had to do, avoiding the surge issues with the J-58 which the A-12 family of aircraft ran in to. There is probably a bit of stretch there, as Concorde was limited by airframe temperature, but the temperature of the compressed intake would probably be the next limitation. As far as I know, Concorde was the only supersonic-native aircraft, with best range being achieved at M1.4.