On Wiktionary the definition is different--"From New Latin nostalgia, coined by Johannes Hofer in 1688 from Ancient Greek νόστος (nóstos, “returning home”) + ἄλγος (álgos, “pain”), calquing German Heimweh.[1] Ancient Greek *νοσταλγία (*nostalgía) is unattested. Transferred sense probably influenced by French nostalgie, especially in literature.[2]"
Here is a short defense of nostalgia in my generation specifically.