Morning fitz. You raised some interesting points last night, one of which I'd now like to address -
There's a principle in conservation that says as far as possible the same (or as near as possible the same) materials should be used for conservation as the original is made from. Sadly, the annals of conservation are littered with examples of well-meaning conservators/restorers using a new, seemingly stable material, only to discover a few years later that the new material is incompatible with the original. The second objection to both plastic, or bags made of a natural fibre, is that both are likely to leave large, alien deposits within the structure - that cannot be ethical on archaeological, conservation or religious grounds.
It's been suggested elsewhere that chalk blocks could have been used for the dividing walls. I don't know if there are good reasons why that method wasn't used but it would have seemed to have been the ideal way of solving the problem. After all, these dividing walls (unless I'm missing something) are only being put in place so that the areas behind them can be properly backfilled - they are not load-bearing as such.