What is also interesting is their Portuguese oven construction:
And then the baking(!):
This particular stone oven is a massive heat sink that takes FOUR HOURS (according to the website) to come to proper temperature of 400 deg F.
There appears to be no thermal insulation at all around the outside of the oven or below the deck of the oven (notice the horizontal cement line).
If you have wood to spare and freely available, I suppose it doesn't matter about the insulation. As a side note, the Breadmans' backyard oven takes EIGHT HOURS to come up to temperature.
For most backyard oven builders, I think it best you insulate both the outside of your oven as well as below your oven's hearth deck. This will allow your oven to not only retain heat longer but also possible come up to temperature sooner thus using less wood (or propane) in the process.