Usually receiver desense and noise or spurious generated by LCD goes hand in hand.
Here is about two separate things:
Antenna type placed near an interferer source. And loop antenna from this point of view has one of the worst behavior. Just think that all the EMI or noise probes actually are loops.
Second, is about LCD behavior in terms of generating noise or spurious that can desense the receiver. I've seen all kind of noise (narrow or broad band), or spurious as clocks, pulses, carriers, generated by LCDs, especially by their flex cables, but not only.
You have to use a sensitive probe before and find the right spot near an LCD where to place an antenna.