the plastic sheet ....... does not insulate
is not exact, because it blocks the heat losses by convective movement of the air around which is a huge heat loss by chimney effect as when a house has its roof open and its windows open instead of simple closed glazing.
So a simple plastic essentially insulates without work.
Increasing the number of layers of transparent insulating walls decreases the amount of light that penetrates and therefore we gain significantly less, except special and expensive optical treatments on double and triple glazing.
The vacuum is much better, if with walls that reflect thermal infrared well ((but not so easily transparent for the sun), but more complex, especially to keep without a good vacuum pump, with the difficulty that a heated thermos bottle degasses the gases adsorbed on the surface in its insulating vacuum, which greatly reduces the insulation if the getter is heated.
It is much less tiring to increase the surface of the solar collector mirror with a little more cardboard with aluminum foil.
The bottom and top heating solution, good opaque insulator, is certainly very good and remains very simple with a very sufficient simple plastic film.