Although much of what you say is true, I think it somewhat misses the point.
This is essentially a system hacking scenario. The idea being to find whatever methods get to the higher level support sooner, through their system for lower level support.
>> "but every single other customer think's their issue requires a T3 tech"
Yes, however, every other customer isn't going to apply strong research and reasoning skills towards finding the easiest way to get high level support. Also, generally speaking, the customers who will apply such problem solving skills to get higher level support are the same customers who would have already tried the simplistic solutions T1 tech support would provide.
The vast majority of people, will never apply any significant research or reasoning towards getting better support. However for some people, like the question submitter, it is worthwhile to find a solution.
I think similar questions quite a bit when faced with various life problems, and the system hacking strategy generally it works quite well. In general, these solutions just take advantage of the wider population's intellectual laziness. If everyone started "hacking" for escalation, then yes, it would be a problem, but most people won't.
Solutions will get shared however, and whenever a solution becomes widely known, the system creators will come up with protections against it, at which point further hacking is required.
In a world where most things are designed for very intellectually lazy people, anyone who wants to avoid such stupidity needs to find ways to beat the system, because the system wasn't designed with them in mind.
Considering how badly set up these systems are, I don't have any ethical problem with hacking them. Systems that are set up so badly needlessly inconvenience people, and they deserve to get hacked. After enough hack/fix/hack cycles, the system itself usually gets a lot better, and start to provide methods for accommodating people differently.
The alt text on the xkcd comic mentioned in this thread demonstrates the absurdity of the existing systems quite well:
"I recently had someone ask me to go get a computer and turn it on so I could restart it. He refused to move further in the script until I said I had done that."
Being XKCD/806-compliant sounds like a good strategy until that method starts getting overused. ;)