MWTC,
I would say that your first statement appears to be correct except that sometimes the dough will not rise much during the first long fermentation period (in bulk) but increase in volume after dividing, but not always by double (it might be 50%). Also, using cold water usually isn’t necessary for a room-temperature ferment. Using room temperature water and flour will usually yield a dough that falls in the finished dough temperature range of 70-80 degrees F.
As for your second statement, using a period of cold retardation after a period of room-temperature fermentation is often for convenience of the user. In Naples, doughs are typically not refrigerated for fermentation purposes but only for very short term holding. In the U.S., many pizza operators who specialize in the Neapolitan style, including those who use 00 flours (and commercial yeast), do use refrigeration but, again, it is for their convenience (e.g., they don’t throw the unused dough away at the end of the day and they can manage their dough ball inventory better). When the dough is refrigerated, it is usually subjected to a room-temperature warm-up before using. I might add that the VPN rules do not allow for refrigeration of the dough, but some operators who are certified by the VPN do it anyway and either hope that the rules aren’t enforced or they just don’t care. In your case, it is your dough and you can do what you want with it.
Kosher salt is similar to table salt except that the grains are larger and of irregular shape. Most Kosher salts are also free of additives and preservatives. Sea salts are formed by evaporation of seawater. The particle size can vary from fine to coarse. They also retain minerals and minor impurities that are said to contribute to their flavor and color. Some of those minerals also act as nutrients for the yeast. For pizza dough, you want to use fine-grained salts so that they dissolve more completely. Consequently, when using Kosher salt, my practice is to dissolve the salt in the water before adding other ingredients. No doubt there will be a pizza operator somewhere who is using sea salt, but most don’t, either because of cost considerations or because they can’t tell the difference at the dough and crust levels.