So I did the experiment...
Method -2 mushrooms in a sealed plastic bag and two in a closed (Burger King) paper bag. Store in fridge 8 days.
Results- Starting weight paper bag fungi 2.3 oz, plastic ones 2.1 oz
The paper bag mushrooms lost 40% of their weight...the plastic bag stored ones lost 0.5% of their weight
Both looked fine at the end.
Fig 1 Before storage. Paper bag shrooms are the first two
Fig 2 After 8 day storage
Fig 3 Crossection
Discussion
Looks like plastic bag storage has no ill effects after 8 days and preserves volume and weight. If one plans to cook them down anyway the preservation of volume may not matter, but if I wanted caps to stuff with sausage and cream cheese then the loss of volume in paper stored mushrooms might be an issue.