Does 96 Chevy pickup transmission 4l60e match 2000 Chevy 4l60e?

No. They are different, 2000 series are built for a different engine series 5.3L. The electronic controllers are different. Not true. Your not swapping the controllers just the trans. swap the whole thing. tranny is the same from '96 to '05 on the 4l60e since the computer adjusts shifts and ect..