And now, there is some damning evidence from a commenter. Here is a Youtube video of the Count wearing what definitely looks like a yarmulke:
And here's a screenshot:
So... We're a bit taken aback, obviously. Nevertheless, the supposed yarmulke only appears in the Count's flashback (he's remembering his first day of school), and he doesn't wear it otherwise. We'd even venture a guess that it's supposed to represent some kind of a traditional child's outfit, not necessarily Jewish.
Or maybe we should just give up and proclaim him a Jew?