Yeah, Raw Dog really sounds like a jam with a lot of thrashy riffing.
Enigma Machine actually has a concept, which you can glean from its title. An Enigma Machine is a cipher machine used by the Germans before and during World War II. The theme of the song, as narrated by Jordan: "I don’t know if we were thinking Pink Panther-ish or a television-worthy kind of theme, but we were playing around with those concepts." JP was more explicit when he said "It has a spy-theme motif, which is why I called it ‘Enigma Machine."
Unlike Raw Dog, Enigma Machine also is structured like a song. As JP said: "We also knew we didn't want to make an extended instrumental track that went on forever, we wanted to write a song at the same time, so it has a form structure of a song, with vocals with verses, choruses and bridges."
And in keeping with the Enigma Machine theme, a real Enigma Machine is where you would encode a message, which would go through different permutations in the process of encryption, then goes back to the original message once decrypted. They followed the same pattern in the song, where an original theme is introduced, goes through several complex permutations, then returns to the original theme in the end. As noted in one review, "So, it’s built up on many different riffs, and there’s a lot of changes between styles and rhythms. It kinda builds up with a couple of different shorter sections, then has a mid section with fast and furious guitar and keyboard solos, then a bass-solo breakdown into a slower and more emotional solo section, before it unravels the song it has built up by repeating the sections the song built up with, only in almost the opposite order."
So Enigma Machine does not really compare to Raw Dog. Only a very "surface-only" understanding would lead one to make that comparison.
EDIT: SInce we are talking Enigma Machine, there is a very good rum cover of this song in youtube.
https://www.youtube.com/watch?v=4JgQ95miYe4 I like how he explained the MM drum fill in the end.