actually, there was an proposal for LCS-1 using SPY-1K for Israel, IIRC.
as for ships not actually build, if we ignore the 2 most important factors (money and politics) we find a lot of designs that are workable, but not always perfect for the job they should do.
I believe that was also the original impetus for AFCON.
Not to stray from the SB topic, my original objection was to the high mounting of the AN/SPY1 (it looked like an F to me, due of scale) because I know that that is not American practice for their billboard radars. Weight is a huge concern.
As for the not full exploitation of ESSM, in the F's and K's, that is due to a rough rule of thumb that the detection and acquisition should be equal to at least twice the flyout no-escape potential in the SAM employed. Ideally it should be three times the flyout. Current ESSM needs an illuminator and that additional detection time to cue steer the missile fore to aft in a lead predict to a solved track as opposed to lag pursuit logic for an indeterminant track (ASTER for example). The missile, itself, has to be matched to the radar/illuminator suites employed, whether AN./SPY and illuminators or APAR and illuminators.^1 In all cases the ESSM Block 1 remains SARH which means depending on altitude, the flyout varies of to-the-horizon to almost 65,000 meters slant NEZ. The target detection for the cue up and signal capture at launch should be from at a minimum to the horizon out to 130,000 meters.
Block II will use an AMRAAM type ARH onboard sensor, so dropping the missile into the basket^2 will be sufficient, without a signal chase illumination from the off board propagator to steer the missile into the target.
ARH could double Block II ESSMs effective NEZ flyout.
^1 Everyone seems to have his or her type of tracker/illuminators. Four (4) different types in the current US Navy are used. Each type has to be matched to the missile signal chaser sensor in a SARH missile depending on frequency and throughput logics used to foil enemy countermeasures.
^2 That egg shaped patch of sky the missile has, to reach and point at, for reflected signal acquisition off the intended target. ARH missiles, once they fly into the basket, turn on their onboard radars and chase the target reflected signal directly (much like a heat-seeker chases heat) until impact. That is lag-chase. Semi-Active-Radar-Homing missiles use a ship, plane, or ground mounted illuminator coded to receivers on the missile (fore and aft). In that case the missile fore receiver receives the separate illuminator radar's reflected signal in its receiver and uses a drift error lead predict logic to show where to point in the future to keep the signal in its sensor F.o.V. . The tracker portion back at the ship, plane, ground radar site sends out a separate coded telemetry update to the aft receiver on the missile to also update the missile as to where it was, where the target was and provides a "past" comparator so the predict lead has a scalar referent to update its vector solution. That is why the old missileer saying is "the missile has to be told where it was and where it was supposed to go. From that it figures out what it needs to do to get where it wants to go in the future.