Alex, I think that the rubber band is acceptable, if it was to hold two fans of the same cultivar together, to keep them separate from the other two fans. That is, of course, if it was two different daylilies purchased. Otherwise, it wouldn't really matter, but I think it is somewhat common to do that. It's the condition of that second fan, and a probable complete lack of any roots, that is totally unacceptable!
Like Becky, I have no idea if those are roots or not. I've never seen anything like that on my plants. To me, it doesn't look anything like roots, but maybe it is.
I trust Char totally, in that it may have enough crown to grow roots, but it still isn't right!
Charley!