"Scientific notation". Learn something new every day! Thanks for the question, David.
Yeh, I've always been a little uncomfortable with A0 following G0. Alphabetization is so deeply ingrained that we often do it without thinking.
But the piano holds a special place in musical history, being the only instrument (other than a pipe organ) that can play every note in the orchestra. Consequently, it's been the composer's choice since its invention, and despite rock star guitar players hogging all the attention it's piano players that ultimately rule. Who else is going to teach you your vocal harmonies? So if we say the universe orbits around middle C, that's how it is.