Now I see what you mean. Stratification is the damp medium in the fridge part. Storage dry in the fridge is just storage. Stratification is to break seed dormancy by simulating winter. For it to work the seeds have to have enough internal moisture, hence the damp medium while chilling. After 4-6 weeks of damp chilling (winter) in the fridge, all the seeds are taken out of the fridge and started at room temperature (spring). For some reason this method is sometimes misinterpreted as leaving them in the fridge until they germinate.
Plants have adapted methods of preventing seedling loss due to adverse environmental conditions by not germinating until they've been through a period of cold followed by warmer temperatures, then they "think" they are safe for a long time until the next winter because they just had one. If daylily seeds are not damp chilled (stratified) before planting they can germinate erratically, and it can be weeks or months before all germinate.