Inspect and debug controls should be compatible

Currently, when enabling "inspect" mode on the canvas, all the debug controls disappear. I imagine @three did it that way to avoid shapes from debug controls themselves appearing in the Inspect window. That makes sense! But it's a little more annoying now with the pan/zoom controls that @kammitama5 added. They would be really useful during inspection; but the view resets when Inspect is clicked.

A deeper integration there would be very useful.

Start by reproducing the canvas behavior when Inspect mode is enabled, including the disappearing debug controls and the view reset. Trace how Inspect mode and the pan/zoom controls interact; done means the controls remain useful during inspection without their own shapes appearing in the Inspect window.

Written by the indexing model from the issue text.