Indeed, tuning and temperament vary considerably. Whether A is a good reference is disputable, by the way. For reference, historically encountered "A" may lie typically one tone lower (around 390Hz, French baroque...) to about half a tone higher (around 460Hz, Northern German baroque) at ambient temperature level. Nowadays most organs are tuned around 440 Hz at 15°C to 20°C. Organ tone is very sensitive to pitch. Big blunders have been made in the past with Cavaillé-Coll organs by moving them from 435 to 440... this was done in Orléans cathedral (hoping to facilitate the play with other instruments) and had to be reversed. Reason is (much simplified) that tone height has something to do with pipe length, but changing the pipe length while leaving, necessarily, other dimensions unaffected subtly but definitely changes the tone. This is even more the case with reed pipes (trumpets etc.).