Yes. You are totally correct. But people like to slab a lable on something they don't like to show their disdain. Facts come second if at all.
I agree, that essentials was just a compilation of the latest rules upgrades and alternate classes (with different names even so there is no confusion) and a different structure.
The problem was just, that there was no audience left, as it solidly stroke a middle ground between AEDU and classical or 5e class structure. And since it showed that players were mostly either pro or contra, you and I seemed to be the only people who loved essentials...
I still believe, if essentials came before classic 4e, we would have seen a lot less edition warring, as essentials catches the feel of classical D&D way better (at the cost of some balance*).
*allthough in practical play balance was still top notch (executioner, I look at you).