Hi,
I have tried that. Every opened tab within the stack adds another tile, so you have 3 pages next to each other, then 4. It's not close to what I'm proposing.
Now, I could extend what I'm suggesting so that when you tile tabs they are automatically put in a "stack" so the stack acts as their container. The ability to split the window then becomes something inherent to a stack.
You could put tabs in a stack as you do now and dedicate the entire window to each one, swapping between them. Or, you could reorganise the tiles as described in my original post to different panes/tiles. Each tile has its own set of tabs within the stack.
See Visual Studio for an example how flexible this docking approach to tab placement and window splitting can be.