Hey Chemman! Thanks for the question. We don't like to BS around so I'll just shoot ya straight. The chlorinated cleaners will slowly eat away the NBR as they do with all rubbers. No lying or beating around the bush on the engineering there. The practical reality is the Oil Udder will still last years with someone cleaning it with them. Just expect it to slowly dry up and eventually crack. So to me the question is more of how long do you want your Udder to last? If it's on the side of "buy one for life" stick with the non-chlorinated stuff. If the $30 is NBD and you'd just get another one (if you like it which everybody has so far!) when it finally cracks then spray away!
Hope that answers your question.
Kevin