The parent is likely talking about situations like those presented where a relatively less dense (and ending) lane is merging into a fully-loaded thru-lane, and the traffic in the relatively less dense lane, rather than matching speed and finding the tooth-gap correspondence that's implied in the name zipper merge, zooms as quickly as possible to the last merge point, and then either cuts in without having negotiated a corresponding gap (causing the traffic column in the thru-lane to brake dramatically) or ends up having to slow/stop until an opportunity presents itself (causing a build-up in the ending lane). Or maybe even the latter and then the former.
So, yes, there is "no line" in the zipper merge. There are two lines. And yes, you are supposed to merge at the very end.
But if that's where the thinking/behavior stops, then the parent is right to complain. Drivers who are not matching speed before the merge point are not doing a zipper merge.