Hi, thanks for the details! The reason I asked about iPad is SketchUp for iPad released a pie menu a couple months ago!
You can read about it here: More control, more options, more tools on iPad — SketchUp
You can see you can customize which tools are in the menu and call them up in the context of working on a model. And it sounds like this is exactly what you’re after in web / desktop.
Let me know what you think of this feature!