I found this. Not sure it is relevant.
https://www.sciencedirect.com/science/article/pii/S2214509514000060
Its freely downloadable.
It is hard to say how useful this is. It is interesting that XPS absorbed far more water than expected. But looking at the knife vs circular saw cuts, and its effects, one might assume that could be responsible for most all of the water gain.
If 5p/sf EPS exists, it might be mostly immune or greatly reduce the water absorption. Also i imagine the higher densities of XPS we are considering might also mitigate.
This all being said, i still think EPS may work just fine, assume a vacable density of material and some sort of shaping. i.e. 3d core