You can never be 100% certain, I'm pretty confident they're the same variety. My guess for the different spelling is that parfianka is a Russian pomegranate, but the letter "i" doesn't exist in Russian.

That makes sense, but why does UC Davis show them as two different varieties. I guess they don't know their Russian. LOL

Davis has many of those spelling errors in their collection, not just this pair.

They explain this mix up on their site. Search soft seeded pomegranate.

Spelling. The Russian word is Парфянка, and letter я can be transliterated as either "ia" or "ya".