Now, I admit up front I haven't read Rank or Raglan. So anyone better acquainted with these authors feel free to correct these following facts or observations, gathered second hand, or add additional ones:
- Rank wrote first
- Rank explicitly discussed and used Jesus substantially in his work
- Rank is heavily indebted to Freud
- Raglan was influenced by Rank
- I do not find much use of the Rank-Raglan hero in professional scholarship; its main use seems to be in atheist apologetics and maybe introductory textbooks.
The second problem is that the circumstances of the Rank-Raglan hero-class's development and its current place in scholarship give one to wonder whether the "parallels" that make up are actually meaningful parallels (else, we're just in Lincoln-Kennedy parallel territory). Freudianism is, of course, a totally overthrown system, a pseudoscience even, and if any of the justifications for the Rank-Raglan hero class depends upon it, then those justifications would have to be established on sounder grounds or put aside as un-demonstrated. Furthermore, what seems to me to be a lack of present-day scholarly interest in the Rank-Raglan hero class counts against its credibility as a reference class for what wants to be a scholarly, scientific argument against a historical Jesus.
So, while I kind of think there might be some basically solid thinking at the core here — Jesus seems to be more like the myth people who probably never existed than like real people like Alexander who might have had some mythical accretions — I'm still skeptical whether trying to quantify that with Rank-Raglan is really a step forward. If sufficiently undermined, the Rank-Raglan framework may no longer be the justified as the best available reference class (for those who think this sort of reasoning is useful and proper to the Jesus question at hand). And, uh, in Carrier's work the next best reference class (based on Messiah-like figures in Josephus) happens to be one that would swing the dial heavily toward Jesus historicity.