The F16 is a beautiful aircraft, really dig them using a real design
EDIT: Whoa, I was wrong. The back end is from an... F18? Think the air intake is different, too. Ah, well.
You were only wrong in that you were right both times. It's clearly a double-tailed aircraft, with potential space for a second engine exhaust there (though it does seem more shaped to one large one instead), as following a similar scheme of the beloved F-18, but the cockpit canopy, as well as main intake under the fuselage, and even the curvature of the forward wing sections on the side of the fuselage all point to the F-16. I think it's only fair to say that Rockstar's satirical nature in game design (including their vehicles and pseudo branding) has held through the design of that aircraft, and made a very interesting F-16/18 hybrid. It's just different enough to avoid legal troubles.
On the topic of the game's much-awaited release, I hope Rockstar steps up soon and decides to make a proper PC version for this game that clearly deserves it. Not that I won't double down again if necessary, but it would be nice keeping all of my fun in that game contained to a single platform from the start, instead of splitting my literally hundreds of hours fucking around in that world between two.
Edit: For additional F-16 markings, note the position of the tail section, seated full back instead of slightly ahead as on the F-18, as well as the downward-angled horizontal flight surfaces of the tail, and see similar small fins on upper and lower fuselage towards the rear of the aircraft. The sensor spike on the nose is also a rare addition to the F-18, which houses most of its sensors under the nose cone and on the tips of its various flight surfaces.