IIRC, the F-14A was originally to have a GE
engine. But that engine was not ready in time (it later, much later, became the F-110), so the USN
had to then chose between the, then available, TF-30 (going into USAF
F/FB-111s) and the J-79 (going into F-4s). The TF-30 was selected as it needed less engineering work to adapt to the airframe, and the airframe to it, had more thrust, less smoke, and burned less fuel, than the J-79. The J-79 had an advantage in being able to with stand higher "G" loading, and was more reliable.