Sooby explained what happened. The small fans are nothing to be worried about - they are one possible normal reaction to damage to an important/vital part of a fan.
Plants grow from parts that are called meristems or more commonly "growing points". The shoot apical meristem (sam) produces all the leaves and the scape.
A first year seedling has a very small sam and each year the sam grows larger and the fan becomes larger and the leaves become larger. The larger the sam the larger the leaves and fan that the sam produces.
The problem in the spring caused the sam to die. To survive and grow the daylily must produce a new, replacement sam. It can do this because there are special areas between the bottom of each leaf and the crown that can become new meristems. When the sam died the daylily could have produced one new replacement sam or two or three or four. The more replacement sams that are produced the smaller the sams because they have to share the resources that were stored in the root tubers. Small sams make small fans and small leaves.
When large fans are replaced by several small fans because of some problem that killed the original sam the new fans are sometimes described as being grassy.
The small fans will grow larger just as small seedlings grow larger. They will also produce new tuberous roots at the appropriate time of the year. The tubers were hollow shells because the material (resources) that had been stored in them the previous year are used for the daylily to grow new leaves in the spring right after the end of winter. That is perfectly normal. In this case the resources were probably used to grow the original leaves that were killed by the problem and the new leaves on the small fans. That is their job and they did their job.
