I have seen a reference or two on the web trying to categorize one or the other into prone and supine, but that's simply not true. Both categories can have symptoms either day or night, depending upon the individual. LPR symptoms tend to get worse at night, however, because in most people who have this condition, the subconscious relaxation of the upper esophagus allows reflux and reflux vapor into the throat.
The term, GERD, as a general reference of the condition, can refer to both types. When one is using "GERD" or "NERD" or "LPR" as a means to describe symptoms, however, it's pretty cut-and-dried. In this respect, GERD includes heartburn, and any other esophageal symptoms/conditions caused by reflux. LPR, which is a special complication of GERD brought on by a weak pharyngeal sphincter (in addition to a weakened LES), includes a whole host of atypical symptoms, including hoarseness/laryngitis, faux-asthmatic conditions, headaches, cricopharyngeal spasm, etc.
It's common for those who experience LPR not to have heartburn, and there are probably a couple of good reasons for this. However, the symptom of heartburn is usually what's used by the individual, or doctor, to diagnose reflux. So, LPR symptoms can appear without a precedent, making it a bit mysterious.
Usually the means to diagnose, and treat, LPR symptoms is more empirical. Does the patient respond to diet and behavior modifications typical of GERD? Do antacids, H2 blockers, or PPIs reduce symptoms? etc...
Whenever someone (as you described yourself) notes reflux symptoms in the throat, that is LPR. LPR is GERD, too, so both descriptions are correct.