I'm fully aware of this

I understood it's more an aesthetic issue, thus my proposal to (glue/weld/rivet/clamp - whatever) the sawed-off handles back to the housing if still available. May not be sufficient to actually move that monster, but may be looking a little nicer than being completely off (and probably way cheaper than buying a new housing and relocating everything).
Regarding heat dissipation: I assumed (maybe wrongly) that if someone cuts away that handles to get the MP under some desk, the space/exhaust openings may have been very limited there in more directions than just above the computer. And in a cramped compartment heat accumulation can become a problem. Should have clarified that better...