TLDR: you're wrong.

C/C, C/SW, C/S, [opponent takes C], C/SE, NE/SW, NE/S...

after C/SE, your opponent has control and can go anywhere that is available in the center board they've already won, so you can't assume you're next play will be NE.

More importantly after you've sent them to the SW board with NE/SW they can go anywhere except the middle and so they then have the initiative.

Hmm, It looks like you switched notation halfway through? I was assuming board/position and only showing player 1 moves but that doesn't after losing the center board

Regardless you lose the initiative after 5 moves.