I think at least a part of that problem is that the usual support ticketing process infantilizes users. If you call in and the first question is along the lines of "is it plugged in? have you tried turning it off and on again?" then of course your next ticket will take that level of questioning into account. And call in even for a switched off monitor next time. Because they wouldn't ask that question if that wasn't their job to fix, right?
Also, of course users will try and fail to fix issues themselves. They should be applauded for the intent and empowered to be successful next time (if possible). Instead they are usually berated for failing and breaking stuff along the way. Which leads to the usual sheepish "I didn't do anything, I didn't touch it, it always was broken like that".
Of course there is a minimum number of imbeciles. But most people can be educated and empowered, so they do behave like adults when dealing with problems. "The system" just has to give them that chance.