Pipephil says grey dots were used on "bottom of the range". That doesn't equate to a second. I have seen maybe a half dozen of these, all rusticated, and they are absolutely not seconds. The Geppetto line came along in the late 90's, and is also not a second. The distinctions are explained on the Marble Arch site. I am not 100% sure when they started the Le Fuma designation, but my understanding is that they may have fissures and possibly fills. These are not carried by the official US importer, Marble Arch, they are readily available in Europe. I have only actually held a couple of these in my hand, and the workmanship was everything you could expect from a first quality Ser Jacopo product. Both had noticeable fissures, no putty, but I know someone who has one with , he says, a very small fill. I have seen several on eBay with spectacular silver work.
To confuse the situation even more, I have in my current rotation a sandblast panel that is stamped Ser Jacopo on the bottom, has the silver J logo on the top of the stem, but lacks the phrase fatto a mano. It has the name of an Italian shop stamped on the bottom. It may or may not be machine turned, since Guidi could turn out standard shapes by the bushel without using a copy lathe if he so desired. I have seen two other SJ's on eBay that are similar and have different shop names and shapes.
Finally, if I have not succeeded in completely confusing you, we now have the Ser Jacopo Modica. It has what I call a faux Coral Dot, very similar to the first Coral Dot iteration that lacked the silver circle. I have not personally examined any of these. Again, the US importer does not carry them. I have sseen these listed on eBay as being from the Coral Dot era. They most definitely are not.
Everything I have listed above has the Ser Jacopo name. In my book, none are seconds, for that reason. They fit into different slots in different markets.