I do not know where the image in post #3 came from, but it seems a standard reinterpretation of the manual. The 1970-71 Parts manual is a bit vague on this, in my opinion - perhaps even in error, by some accounts.
In my observational experience, the Shaker Hood hinge spring on Barracudas/Cudas has always been the heavier spring, not the special lighter AAR Fiberglass Hood spring.
My interpretation of the parts book is the the lighter spring (PN 3586214/3586215) is used when it is BOTH fresh air and fiberglass apply. Which is the case on the AAR Cuda and Challenger T/A.
But on the Barracuda/Cuda with Shaker Hood (nee Fresh Air) the heavier spring (PN 3586092) is applicable. I cannot speak from experience on Challengers, but my instincts are it is the same.
The three hoods, Plain Jane, Rally and Shaker are all steel and require the heavier spring.
Only the Fiberglass AAR/TA hoods use the lighter spring.