Certainly they are disgusting when they drop out of a flower arrangement onto the table when you are eating dinner. I see them in daylilies but do not normally see any damage on a flower that may contain several of them. They seem to be drinking nectar. Their heads are down in the throat with their distinctive two-prong behinds sticking out. It is also possible that I have a harmless species of earwig with no appetite for daylily flowers.
Some pests are just too cute.
Katydids aren't attractive as adults, but as babies they are charming, gangly critters. At that point they can be as voracious as grasshoppers. However, I decided just to live with them. Their population is not increasing. I believe that some insect damage should always be acceptable in a garden.