Well what happened when we only had weekly divisional changes? Are you saying it worked the same, but only at the end of the week?
I must admit I don't change divisions very much and not for a while. However, I have never noticed a change of division applying after the first match. I feel sure I got demoted to K3 when squish was applied (when it got really severe). Hmmmm.
Now that you mention it. There have been complaints in the past from K1 where players have won, but still been demoted. I presumed this was the last game of the season and were demoted when squish was applied.
I'm probably wrong though, this is normal and your division will change (as we thought) after the first match.
I just found this topic, which you actually commented on CamaroAMF
GAC Squish Again! | EA Forums - 4192631
Where Crispy stated:
"I got squished out of K1 again...last 2 GAC seasons I ended in K1, but then my skill rating dropped in between each season so I started in K2 for the next season."