While the F16 beat the YF17 for LWF, it’s carrier version was defeated by the carrier version of the YF17 (which would become the F/A-18).
I would agree that the F16 is not a peer to the F15 or F14, the entire point of the 16 was to be a small and cheap workhorse. Not just because of the LWF program, but because that was its designers’ ethos inside General Dynamics.
The 15 is 50% heavier when empty, And the 14 more than double (though part of that is changes and reinforcements for carrier-based operations, the Vought 1600 was also quite a bit heavier than an F-16).