U of Penn's Professor Holly Pittman offers a long list of artifact images for us to peruse at her website. Under one directory, there are two interesting pictures, one labeled "Neo-Assyrian, Nimrud, NW Palace Harem, Pit AJ, Sacred Tree, 8th Phoenician Style" and the other "Neo-Assyrian, Nimrud, Ft Shalmaneser, SW12 Plaque, Phoenician Style". I show both photos below and they show a persistent Tree of Life pattern.
They're very similar to what's found on an Etruscan mirror suggesting Punic artistic influences via ancient Carthage.
Evidently then, if we want to crack the riddle of Etruscan mythology as a whole, we must learn to look past the "safe" but limited Roman and Greek comparisons. Egyptian, Hittite, Babylonian and Phoenician comparisons are also fair game because the Classical Mediterranean boasted a complex network of interrelated cultures which were very good at distributing ideas across surprisingly large distances.