My biggest problem with corrugated cardboard pizza "boxes" is that the grease tends to soak through them. I guess this new one from Pizza Hut uses "compostable" material like a lot of new plastic-like takeout containers. I don't particularly like cardboard (egg container style) takeout containers since they tend to soak through quickly. But the plasticky compostable containers seem to last long enough without soaking through.
Cardboard also serves to absorb moisture from steam, so the crust doesn't get soggy. The plasticky compostable stuff won't do that. People will be complaining about soggy crust soon enough with that new pizza hut box, unless it has ventilation built into it.