Tbh, I think it’s evenly split. The violin and the rapped verses are each about half the appeal for me.
That said, I’d never actually heard Pastime Paradise before (or I’d assumed it was gangstas paradise) and I liked it as well. I like Amish paradise less, but that’s just because I don’t generally like parody songs as much as the originals. I respect the hell out of Weird Al and think he’s one of the most talented modern musicians out there, but his songs tend to hit me more academically than emotionally.
If you’re talking about purely from an academic standpoint, the technical precision in the video parody of Bad for Weird Al’s Fat, matching virtually everything in the original video, matching almost all the shots and almost all the choreographt and doing it in a funny way beyond “fat guys dance like the dancers in the first video” is just mindblowing to me.