I wanted to add that like Michele, I also had some duplicate "garden" daylilies in my front yard that I also had in the backyard that I used for hybridizing. They were ones that I really loved, and I wanted to share them with everyone who passed by the house. So, they can be both!
There is no reason not to be picky about your garden daylilies! Mine were always mixed in with many other flowers, but if they didn't do well, they moved to a neighbors house who wasn't as picky as I was.