It seems to me that you are in some ways describing a Wooki underquilt, but with synthetic insulation instead of down, and being able to lay directly on it instead of hanging it under another hammock. I don't see why the concept wouldn't work, and we see that people have already done it.
Having said that, I would double and triple-check your 80cm width. That is 31.5" wide which is only about 70% of what I would consider normal width, 44". When you think about the underquilt, remember that the insulation must wrap around your shoulders or you will be cold, even with a top quilt. The top quilt will only truly cover your "top". Even though you tuck the top quilt around the sides of your body and underneath, it will be compressed by the hammock at those points and ineffective, so the underquilt takes over in those areas.
I would be nervous with an 80cm wide underquilt, even if I didn't move a mm while I slept.
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