Here’s mine currently.![]()
When you first turn your ipad to portrait, the icons may not re-arrange themselves in a manner that you want, but you can then proceed to arrange the icons again in portrait mode and iPadOS will remember the unique layouts for landscape and portrait.
So you will likely need to edit your homescreen twice. One for each orientation.
That Upper Left Widget, what App is that and if you have apps in there, do there notification number show in that? I think for me that type of widget could solve the dense layout disappearing