They don't want to be effective. They want to punish and humiliate anyone they don't like, and lie about it because claiming "efficiency" is an easy way to get overly credulous American moderates to look the other way.
Musk also thinks it's funny we all have to say "DOGE" because he is a petty moron with the sense of humor of a spoiled 13 year old gamer from the year 2000.
As someone who witnessed the absurd corruption of the weird fiefdoms carved out by the horrifically inefficient career staff at the Department of State and USAID, I have to say that all this really couldn't happen to a better set of people.