Yeah that’s interesting… well do you think Satan would have tried to lie to Jesus, the King, who knew everything. That’s obviously not going to work, and Satan is smarter than that. Jesus didn’t dispute Satan on his claim either. Satan’s main angle was to tempt Jesus’ ambition, which would have been useless if Satan didn’t have the authority to actually offer the throne of Earth.

In Rev 13:2 (2-4 for context) Satan “the dragon” (identified in Rev 20:2) gives the symbolic beast authority over the Earth. Meaning of beast explained Dan 7:23 (15-24 for context)

Thinking about it … if Satan doesn’t have authority over Earth, 1) then Jesus would be king of earth, hence why would Satan bother to tempt Jesus giving him authority he already had? , and 2) why would Jesus permit Demons to rule nations on Earth, previously cited. Jesus would have cleared out his own house prior to coming.