Well, this is a case where people that aren't affiliated with the "Tech Ops" organization haven't any idea what a "pack burn " is. Its not your fault that you don't know, why would you, you don't work on planes.
Let me just give a brief overview:
This term is associated with MD80s. Because of the location of the APU air inlet on an 80, the air conditioning system is subject to oil contamination because the APU will ingest the oil. and when this happens you get smoke in the cabin or hydraulic fluid smells. There is a work card or procedure to super heat the packs to burn all the oil residue out.
The 777 on the other hand is 20-30 years advanced from the 80, thus, it doesn't suffer the problems 80 packs suffer. It doesn't get "pack burns".
Now, I am a Conehead, and as such may not have a complete grasp on the facts regarding pack burns and fleet types that use them, but I'm pretty sure there is no such procedure on a triple.
I suspect the OPs intention was to illuminate the ignorance of the manager that wanted to do such a procedure on a triple. This stems from that fact that most experienced mechanics aren’t interested in going into management because of the way they are treated. If you’re a good one you get fired, a bad one and you advance. It has been this way for many years. As a result, a lot of management has had very little time actually working on a large transport category plane. Some have none and there is a general “dumbing down” with management.