I was rewatching LD 4x07 “A Few Badgeys More” when Badgey’s ramble about seeing past, present, and future as he ascended gave me a question: if Badgey has become a non-linear, omnipotent being, what is the impact on the timeline? My thought is that delta insignia seen in Starfleet and past human organizations may actually be part of a bootstrap paradox; the delta insignia inspires Badgey, and then eventually, Badgey, after becoming non-linear and being part of all time and space, causes the the delta insignia that inspired his form in the first place.
Star Trek rarely does predestination paradoxes, but…sometimes it does. Your idea sounds plausible.