Actually, I found after enabling the new feature I regained a lot of squares from a private organization I am no longer a member of. These squares didn't even show up when I was logged in before.
Only if you remove your work email from your account. I still have green boxes for things I don't have access to. But I made sure to leave my work email in my account settings, if you remove it, then you lose all the green boxes.
I did some contract work for several months where they just gave me access to the organization and removed it when I left. I have nothing for that time.