My understanding is that the FBI was all over the skydiving community in the days immediately following the hijacking. In fact, reports from GG indicate that Earl Cossey was brought in to help with focusing this aspect of the investigation, and told the agents involved that Cooper didn't have to a pro or any kind of expert to successfully jump at night from a 727.
I talked with at least one SOG trooper who was interrogated by the FBI upon his return from Vietnam in circa 1972. Special Agent John Detlor indicated to me that the Bureau did a substantive investigation of paratroopers, especially SF.
Some time later, Coss changed his tune and the FBI adopted the notion that Cooper was an idiot who didn't know what he was doing and died in the jump.
Bruce Thun, the jump master at Thun Field told me that the general feeling at Thun the day after was, "Why didn't I think of that!" Bruce also told me that the FBI investigation at Thun was so extensive and knowledgeable of personal traits of certain skydivers it was clear that the surveillance at Thun was extensive and long-term. Bruce's comment was, "How did they know all that stuff?" He was very upset at the level of FBI surveillance and knowledge, even knowing where the girlfriend of one the Thun skydivers lived in Oregon and was miffed at her skydiving bf for missing her T-Day turkey.