I think his definition, aka any dive during which you can't make a direct ascent at any time (i.e. overhead, virtual or otherwise) is technical, is clear and concise.
Yours is clear and concise too, but there are too many exceptions. Besides, the removal and replacement of a regulator is covered in basic diving curriculum. That the replaced regulator may deliver a different gas doesn't change the scenario.
Personally, I tend to disagree with a paradigm that defines a dive based on its planned end. What I do in the last 20, or 70, or xxx feet of a dive doesn't make the dive technical. It's what I do during the bottom portion of the dive, or where I go during the bottom portion of the dive, that makes it technical.
I believe that this is a definition that doesn't need to be established - there is no benefit to doing so.