Both had problems in the era of TSA. TWA failed, and JetBlue has the TWA terminal now. The huge wings are gone, but now it has 20 security lanes, a "monument to human throughput". The LAX Theme Building has never been very useful; it's had a restaurant inside, but few went there post 9/11, because it's outside security and you'd have to go through screening again.
By the late 1960s, big clear-span roofs like the Dulles terminal and the Astrodome were going up. The technical problems had been solved. A bit after the original Googie era, though.