Hayden is acknowledged in the FBI files early on though some 302's state Cossey owned the chutes..
There are two reasons for the confusion.
Since Cossey first packed the back chutes, the assumption was that the chutes were owned by Cossey previous to Hayden.
And Cossey never denied Hayden to the FBI, only in the media years later..
So, the FBI likely believed that Hayden had purchased Cossey's custom NB6/8 and Pioneer. That is why they relied on Cossey for chute id..
However,
Cossey never provided his packing records and even claimed he had.
Cossey's description of the back chutes did not match the earliest description of the back chutes.
There were two back chute packing cards found on the plane, one was returned to Hayden and the other did not match Cossey's description.
Many years later, Cossey falsely claimed the chute left on the plane was returned to him. He told Carr and others the back chutes came from his house... He also said the back chutes came from Issaquah.. he also said that the chute Cooper used was his modified chute.