If I understand correctly you are thinking to soak the seeds after stratifying them? There's no need to do that before planting. The important thing is that they take up water before or during the chilling otherwise the cold can not work to break seed dormancy and allow germination. So some people do soak them for a few hours before refrigeration. IMHO it is better to chill them in dampened (not wet) vermiculite or perlite. After about a month in the fridge they can be taken out of the fridge and planted immediately outdoors, or indoors under lights.
Refrigeration on damp paper towels does work too, again they should be damp but not wet. This is for stratifying not storage. For long term storage in a fridge they should be dry
