In the 1932 movie, the sign with "The World Is Yours" is the one that inspired Tony Camonte.

It's under the same sign that he dies (screenshot below), when shot by the police. You can see Tony's death at 1:32:51 under the sign.
The 1983 zeppelin/statue is probably a tribute to the Howard Hughes 1932 movie. There's an ad from PanAm (circa 1950) (from @Tetsujin), so it can't be the inspiration for the 1932 movie. Why not the other way around though?[1]

[1] TWA was PanAm main competitor for years. Howard Hughes took control over TWA starting in 1937. TWA's first commercial flight to Europe was set in 1946 (New York to Paris route on February 5, 1946). Through the 50's et 60's TWA has opened many lines to Europe and Asia. Juan Trippe (portrayed by Alec Baldwin in the movie "Aviator") tried and have HH's company (and others) forbidden to fly to many places as he wanted a monopoly.
"Although Pan Am continued to use its political influence to lobby for protection of its position as America's primary international airline, it encountered increasing competition." PanAm post-war expansion
That would be the heck of a "joke" (? for lack of a better word) if someone at PanAm, having seen the 1932 movie, thought of using the motto as an ad (and personal warning to HH): like Tony Camonte, you'll try to reach the skies looking at our planes and inspired by our ads, but, like Camonte, at the end, you'll die under our sign.