The fungus that causes leaf spot is what I worry about, as well as the "rot" bacteria. Admittedly, both are present everywhere, anyway, and, if you grow lots of iris, there is probably ALREADY a higher concentration in your beds....but, there's no sense adding to it! "Hot" composting would eliminate most, if not all, the pathogens and insects.............but I'm too lazy to spend the extra effort, so I do the "cold' composting.
We are pretty fortunate that in our little village, we have some real good village employees ! The kind that stop the truck to pick up a candy wrapper, blowing in the street ! So, when these guys see you have a wheelbarrow load, or even see you working in the bed, they stop and ask if "That going to the dump?!"...."We'll be back!"....so they actually pick up the green waste, branches, leaves, etc. ,almost as soon as a pile is started at the curb. That makes "trashing" the iris parts really easy for me!......Arlyn