Specialized language can be found anywhere. Wherever groups of humans with certain interests are, they use the specialized language that comes with that specific interest.
When I speak about a CRT, only a very small number of people here would understand what I'm talking about, but if I use that abbreviation in an electronics forum, not only would everybody fully understand what I mean, everybody would also immediately have their own, personal topic-related "universe" in mind:
"CRT, yeah, I know, Cathode Ray Tube! I still remember my old physics and electronics teachers and their lessons about CRT. I can almost smell the melting soldering tin in my own workshop, when I made my own CRT experiments. Now let me use anything I know, learned and experimented, to find out out what this MrNobody's "problem" with CRTs is and how to solve it."
'nuther example: I visit my new neurologist for the 1st time. She asks: "Why are you here?" and I reply "MS." Bang, within a few milliseconds, she has a whole set of questions to ask, tests to perform and potential treatments to suggest, on her "mental screen".
Last but not least example: "RPF." Of course, being a never-in, I have no personal experience with RPF - unlike many ESMBers who do. Of course I can "interpolate" - just like my neurologist re: MS - but that's not the same.
Why do I tell all this? Because when it's about getting rid of a certain "specialized language", it's not just about getting rid of certain words and meanings - it's about getting rid of the whole "mental universe" that comes with these words for those who are/have been affected.
[my obligatory EDIT:]
Your example about the dishes was actually a pretty good one. Instead of asking to "handle that", you could have just asked to "take care of that".