By virtue of many daylilies having rust, many, many people have rust, too, Linda - you are in very good company.
I know I would be interested in seeing and reading any follow-up that people may do when the dishwashing mixture is used as a preventive treatment on daylilies that are likely to get rust later in the summer or fall.
Important Reminders: This was used as a suppressor before rust appeared (just like the fungicides were used), not as a cure or treatment after rust appeared. So, it was not an experiment to see if it would remove rust or even reduce it after it appeared. But, when used as a preventive spray before rust appeared, it did result in less spores than any of the fungisides they tested, and that may help to reduce the overall spread of rust that may occur at one time in a garden. But, again, it did not entirely stop rust from appearing - it just resulted in less spores appearing on the leaves than other types of treatments they used.
Also, they did the spraying twice, once before rust was expected to appear (just after they infected the plants) and again about two weeks later, when rust might be expected to begin showing up on the outside of the infected daylilies.
There may be more recent tests, done with additional fungicides, that produce better results than dishwashing liquid. And, I believe I have heard that alternating types of preventive treatments, at least for industrial fungicides, may be very effective, too.