I did the survey. We have had more cats than I care to know for many years inside and out. I have never noticed an outside cat eating any part of the daylilies, only grass. We have a cat inside who munches on the daylily foliage when new ones are soaking in the kitchen sink. She has not been sick nor has she thrown up from eating the foliage. Of course, she has a condition known as P.I.C.A and eats clothes, towels, socks, shoe strings, etc. That may kill her one day but it won't be from eating daylily foliage.
Doris