Can calibration data be saved?

[datacute]

I have two nunchuks, with wildly different ranges of accelerometer readings. They have never been plugged into a wii remote.
I can overwrite calibration data onto the nunchuk, but can only read it back while the nunchuk is powered.
If I turn off and on again, the calibration data is reset to zeroes.

Does the nunchuk have a way of saving calibration data in non-volatile ram?