I think you're being a bit more literal on the zipper part. The zipper is just meant to illustrate how cars should work on merging where each person takes turns on merging but the zipper part of the name doesn't mean to start from bottom and work to top. They don't want you to merge early and that would not be what a zipper merge is. You start the zipper merge at the merge point and the merge point isn't all the way back.
Respectfully you've got the zipper merge backwards and are describing the old way.
Here's how my state's DOT shows it
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I know it's hard, I was a really long resister of it and can still find myself doing it just based on my past from time to time but if you actually had 2 miles of warning for a lane closure and you're told to use the zipper merge you should wait and NOT merge early