I fear you’re selectively misquoting me! What actually wrote was:
So you can open the Inspector, do a task, and hide it again using the same shortcut. It does not have to remain open. That choice is the user’s.
Within the current session (i.e. app remaining open) the Inspector will (re-open) in the last used position. On multiple monitors (or very/big wide single monitors) the first opening position of a session can be confusing; I presume Tinderbox is trying to pen the inspector so it doesn’t obscure the current document (so might open on a different screen, for example).
Opening/closing the Inspector is no different to showing hiding any other control. My understanding is the Inspector is a discrete window not least as some task require drag/drop outside the Tinderbox document window (think of the single/small screen user). If the Inspector disappeared when the app lost focus, such tasks would become impossible.
At the same time, just today we’ve a request for someone wanting a docked Inspector (for UI fashion reasons, not better UX). I’d warrant it’s someone not working on a single small monitor, where it would be wasteful of limited screen space.
I’ve trained myself to show/hide (either ⌘+1 for current Inspector selection or ⌘+2 for the quickstamp) the Inspector when needed or not. Having done so—I’ll admit it took some deliberate effort—all the annoyance listed have gone away, except the inability of either Inspector or document windows to take focus and set focus where clicked, rather than needing two clicks for the Inspector(set focus on window, set control focus) or three for a doc (1. select window, 2 select correct view or text pane, 3 set control focus. A lot of nugatory clicks if context switching a lot.