That's just how I sort tech support from the rest. I could be wrong, of course:
Tech support to me are questions like:
My Photoshop is slow to save when I have Firefox, Chrome, ITunes, Skype, Mail and Dreamweaver in the background. BTW I have 8 gb ram.
Where can I plug my headphones
How to set up my 2 displays
How to change keyboard language
We can answer these but that's starting to be basic operating system knowledge. So I guess it should go to SuperUser.
Related design questions:
Why do fonts conflict in Suitcase
How to add a custom menu to Illustrator
Why Photoshop takes 15 minutes saving my 10k layers in my .psd
Why I see little squares at the end of sentences in my PDF
That's all related to the software we use everyday, specifically part of a designer's workflow and good knowledge to all of us. That could stay here because that's part of our expertise. Some could be considered tech support but we know the answers and these issues might only happen to designers.
Now for stuff like counting how many layers in a .psd, I consider this to be at the same level as creating scripts. And since I rarely use scripts, I don't think they entirely belong to the GD:SE but I'm also admitting I'm biased thinking this, probably because I can't answer these questions. I'm hoping some genius somewhere will figure it out. My first reflex is of course to ask "why the hell do you have 10k layers" and suggest them to calm down with the layers, learn to organize their files and think before adding so many trash layers. Maybe that kind of question could simply get into the void of unanswered questions until someone can answer it.
All the other examples of the OP could really be migrated to SuperUser.
EDIT Nov. 11:
Maybe add to the list of the "We shouldn't have to manage this":
my-printer-doesn't-work questions
That's hardware questions, and almost customer support. At the limit I could understand questions about Xerox or large formats Epson but not home printers and their very specific (and really basic) settings. It seems like there's more and more of these questions. That belongs to the same category as "where do I plug my headphone". It's not hardcore Preps imposition, it's basic "how to use a printer" questions.
Examples:
Vertical Page Layout Print Booklet Prints Does Not Print Correctly
https://graphicdesign.stackexchange.com/questions/27381/book-printing-pages-not-arranged-correctly
Adobe InDesign 6 not printing booklets to edges of paper, InDesign 5.5 did