The founders of Rome, Remus and Romulus, seem to have claimed their lineage from Aeneas, a survivor from Troy, while Troy was located on the outskirts of the Hittite kingdom. There could have been some exchange of ideas. For instance, Remus and Romulus sucked from the Capitoline wolf, but the same image is also present in Anatolian Turkish mythology if you google by the word Asena. So syncretism was widespread.
From the latest link you shared on Hittite mythology
Remarkably, there is also a popular drink in Russia and Georgia under the same name
https://en.wikipedia.org/wiki/Tarkhuna_(drink)?wprov=sfla1
To me both names sound like Georgian words actually