Heavy?
Two packages made from mycelium can behave very differently because “mycelium composite” is a category, not a single recipe. Particle size, fibre content, and the ratio of substrate to mycelium all change density. Higher density generally brings higher compressive strength and better edge definition, but it also increases weight and can reduce the springy cushioning that protective packaging needs.
Sounds like this might be your area of expertise. For the rest of us, take a shoebox. How much ballpark extra weight we talkin’ to have a livable planet? (Maybe the mushrooms would be ~2x as heavy as standard shoeboxes for example, to meet existing spec.)
Or how about for the glasses box they show on the site in OP, or a plastic sleeve like Americans sell Oreo cookies in. Anybody have any guesses?