IMO it’s a mistake to conflate an elected official’s personal Twitter feed with the official Twitter feed of the office the elected official holds. Official Twitter feeds should be controlled in an official way and should not contain political material; they should be like government press releases (which also should not have naked political content).
In this case, a Hawaii staffer should be in charge of the official Twitter feed of the Governor of Hawaii. Gov. Ige should control his own personal Twitter feed.