Under the double skin was this...

Here's a diagram showing how the exhaust flows...

Main entry pipe is fully open in Chamber 1, perforated in Chamber 2 and sealed from Chamber 3.
Secondary pipes are perforated in Chamber 1, perforated in Chamber 2 and fully open in Chamber 3.
Exit pipes are sealed from Chamber 1, sealed from Chamber 2 and perforated in Chamber 3.
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I have de-restricted the exhausts by removing the secondary pipes and removing the perforations on the exit pipes...

Here's a diagram of the new exhaust flow...

The inner cut-out was welded back in place, then sealed with exhaust repair paste. The system was tested to a pressure of 8 bar. The outer cut-out heat shield was attached using exhaust repair paste, then painted using high temperature exhaust paint.
Finished result...

All the modification has been done to the top of the silencer and none of this can be seen from under the car.
I can't objectively tell you what the improvements are, but it does sound slightly "fruitier" and a little bit less of a screamer at mid-revs.
There is less engine braking and the engine seems to rev more freely.