Yes! Common names are often mixed up or vague. "Bluebells"is an example; there are many plants called Bluebells, but there are many, unrelated species.
I’ve not seen a legitimate Solanum melongena that is orange. Many catalogs call the Ethiopian or Turkish Orange S. melongena, but that species is green, white, striped and various shades of purple or lavender.
Supposedly, Pumpkin on a Stick originated in Thailand. Here’s a good article on it. That species is Solanum integrifolium, a spiny plant with typically pleated, flattened fruits.
I’ve grown the Turkish Orange, Solanum aethiopicum, and it lacked the strong ribbing, was a bit smaller and rounder. S. integrifolium, makes larger fruits that can reach 5 inches across.
Both fruits are eaten before ripe (green) for best flavor. I believe Wikipedia has some mixups, lumping Pumpkin on a Stick with The African/Turkish S. aethiopicum. E.G.: Wikipedia states " The leaves of Solanum aethiopicum are eaten as a leaf vegetable and are actually more nutritious than the fruit." However, they include Pumpkin on a Stick in this species; unlikely as P.O.A.S, is very thorny, including the leaves.
The bottom line is that because these two “eggplants” originate from different countries, which are very far apart, there are two, orange-fruited eggplant species (at least). This is one of the few times a common name (bah humbug) may guide you when you buy seeds, The seed vendors are usually so hopelessly mixed up with the species, the description of what you do with the plant/fruit can guide you.
I’m not fond of either as a food plant. If a fight against flea beetles is going to happen, as it does with any eggplant, I prefer Fairy Tales, Thai Long Green Elephant Tusk, or some of the other long Asian types. For some reason, despite Italian grandparents, the Italian varieties cause… "gastric distress’ in some of their grandchildren, including me. I tried the salting, different stages of fruit ripeness, remove the skin, to no avail. The large fruited ones are lovely, but…nevermore!