I have SO MUCH moss on many of my iris patches. I have about 90 varieties and I'm guessing at least half of them have moss in them.
I don't have any mulch on the iris.
I've tried vinegar which worked for a while but it came back. It also did harm to the iris, even though I tired to keep it off of them.
I read somewhere that lime would help. I put some on the worst patches last fall but I see the moss is already going strong this spring.
I've even dug clumps of it out but just can't get it all and it grows right back.