On my iOS tablet (iPad) I do not remember to have seen the desktop layout i.e. the second screenshot.
This is what I wanted to vérify. I use an iPad as well and was quite sure that I never have seen before this layout. I even did a recent tuturial to some friends eager to use an met' app by using directly the iPadOS screen recorder. It shows these little icons directly overlayed on one side of the screen.
But maybe I'm wrong.
Nevertheless, I wanted to make sure there's not a button I missed intended to modify this interface.
Thank you for your help