I don't think it's that. Afterall if you do the Secondary Lotus and the target is already in the air and you don't have to kick it there does make lotus a lotus?
So in that case Lee didn't do secondary lotus he just did something.
Or is the kicking included in the lotus? I don't think so. (Actually I just don't remember so )

Chidori is all about gathering the chakra and HITTING the enemy fast speed.
And when the HAND where the CHIDORI is moving fast, the n it will make the chirping sound.

M'kay?