Hi, Alan. You might well be concerned about your new house, but I would be a lot more concerned about things like roof joist spacing and sheathing than the use of foam for architectural details. The foam is probably not styrofoam. There are some very strong foams available now with excellent quality. As a matter of fact, on a recent show on the program that *** **** once hosted, the current host toured the plant in Ohio where the detail parts were made for their Billaricca, MA project. It would be nice if everybody had the wood and the shop that they have available but that does come at great cost. And wood parts have to be protected from the weather much more than the foam ones do so the foam details will save you some painting down the road.
Certainly, have the inspection done if you wish, but I would not be concerned about the foam. Your foundation, framing, roof, plumbing, electrical and other areas are much more important.