which is contradicted by the events of the whole war, we see them trying to do it, then fail due to mayuri etc. then we have urahara denying the chaos is due to the soul cycle. What jugram seems to be talking about and implying is the fact that due to the invasion all is destabilized, they killed yamamoto, they invaded the royal palace, they killed the soul king, then the YH became the new ruler, all they knew was thrown into the air, the stability they knew before its gone.
During the early episodes we see them talk about it too, YH questioning the method, how it did not work, killing the arrancar/quincy responsible for the plan etc. then stating the invasion plan is going to take place, the destabilization via killing hollows plan failed, so the invasion happened instead