Jaeger
did create the Akira. The suits wanted the NX to look just like it because they didn’t really care if it looked like some obscure (they thought) background ship from
First Contact. Drexler knew the fans would have a problem with that (it quickly became the “Boba Fett” of the Sector 001 fleet - next to nothing known about it, yet immensely popular), so he essentially flipped the engines upward and made it a bit more greebly. There’s clearly an implied design lineage, but it wound up being an essentially different ship.
Ex Astris did a work up on this topic years ago.
So, long and short of it, Drexler is the creator of the NX, but there are enough design cues derived from the Akira that he probably should have at least given Jaeger some credit.