As far as I know there are no daylilies that some deer will not eat under some conditions. Here they eat the new shoots right down to the ground early in the spring as the snow melts. They will then later in the season eat the flower buds and yet later in the year eat the pods.
What they will eat depends on what else is available nearby that they prefer to eat and how much of the more preferable foodstuffs is available.
However, I also think that what deer do to daylilies depends to some extent on what they have learned to do in previous years. So the deer in one location may not eat any daylilies for many years until after the first time that they try tasting some. Then they will be more likely to come back to eat them in the future. What they do will also depend on how difficult it is to eat the daylilies or how nervous they are about being in the area with the daylilies, etc. So it may not be possible to simply guess how the deer in a different location will act when daylilies are available to eat.
