I recall that they sell globes like this in the duty free / gift shop at Santiago’s airport, AFTER SECURITY. I saw them in August. By definition, this means you will be permitted to carry your purchase on board your flight from Santiago.
However, if your journey includes connections that requires you to go through aviation security again, you may lose the liquid filled globe.
For example, if I fly home to South Florida, but my first US place of entry includes a connection from my international flight to a domestic flight segment, I WILL HAVE TO GO THROUGH TSA security again. They will confiscate the globe... PERIOD!
Your result may vary... For this of you who want to continue this cat and mouse game, as with hiking poles, have at it....