The First Production run is not a limited edition since it is otherwise the same knife as the regular run. Further evidence if this is that these knives do not come in a Limited Edition labeled box. Also, the FP run does not have a different model number designation.
"Unlimited Limited" are usually dealer exclusives, are different from the regular production version, and may come in a LE box (not sure if all do or not). However, these are not labeled as LE or have a numbered inscription on the blade. They do have a different model number designation. Current examples that come to mind are the REI Griptilian with S30V green/black G10 scales and the KnifeWorks Contego with M390 and blue/black G10 scales.
True Limited Editions are different from the regular production knife, have a defined number produced, and have a blade inscribed with Limited Edition and the number of that knife. These also have a different model designation.