Lore dump: This is not a coincidence, as the characters themselves refer to the chidori being named due to sounding like thousands of birds. The alternate name used by kakashi, raikiri, is related to https://en.wikipedia.org/wiki/Tachibana_D%C5%8Dsetsu
Interestingly, in the Shona language it means 'puppet' which I found very appropriate as it is a functional framework which you have behave in whatever way you want.