Ok, I received the part and it is clear now why the need for the quick connects. However, one could attempt to run all new tubings from the water tank but it may not be long enough or even feasible. I read in a forum, the lines running inside the fridge are not meant to be replaced.
So, quick connect it is. Saves me time and hassle. Though I wish it was the more readily available 1/4" which HomeDepot/Lowes readily sells for $2 compared to 5/16" which I have to mail-order ($8) or try to find at some specialty plumbing supply store.