Correct. Carlsens King move was to a legal square and was indeed a legal move. Carlsen had not made a claim that Inarkiev made an illegal move. His move was legal and the game could have continued with Inarkiev being in check. However, Inarkiev stopped the clock, claiming Calsen's move was illegal. The rules could be better written, clarified, as the Chief Arbiter said. The 1st Arbiter was over ruled who declared a win for Inarkiev.
The Chief Arbiter made a fair and reasonable decision to resume the game. If anything, Inarkiev could have been penalized time for making a bad claim.