Actually, probably not. It is picked up and chopped into about 2" pieces and blown into wagons at higher percentage moisture than hay for baling. It is packed tight. It is heavy. It is moist. If left long enough in a wagon or giant pile, it will start to ensile itself because of the sheer weight of it. The fact that it goes through a blower means it’s easy to contaminate a load. Depending on how it’s treated after unloading - how many loads are mixed to come to the label’s nutrition consistency, etc. How long do piles sit before they go through the dryer?
Loose hay and loose chopped alfalfa are 2 very, very different things.
ETA - clicked your link and it seems that company uses large squares so 1 dead fox in one bale could be a source of a fair bit of contamination as it got chopped up and moved through the processing chain. So different than my explanation above, but similar too.