No offense, but I'll side with the implication from Nog himself over your suppositions.
According to MemAlpha, Nog was born in 2353, and Rom did not leave Ferenginar until 2361.
That's a good point. That means Nog will have left when he was 8 years old. I assume that when Rom left they went to Terrok Nor so Rom could work for Quark. The question though is how well can a small child fully understand the culture he or she lives in. Does he have found memories of his youth and how does one process looking at place from the fact your pulling your memories from basically the childhood perspective you had them from. I use to live in a small town in Oklahoma as a kid. Actually a few of them. If I went back to those places I wonder how different it would seem and feel as a adult and just how accurate were my memories of the place to begin with.
Jason