The phrase "doeth aboutface" means to suddenly change one's direction or opinion. Some possible synonyms for this phrase include "reverses course," "flips the script," "changes tack," "turns on a dime," "does a 180," "makes an about-turn," and "switches gears." Each of these phrases involves a sudden shift or reversal of some kind, whether it be in terms of direction, strategy, or perspective. They all share a common essence of surprise or unpredictability, as if someone has suddenly changed their mind or set off in a new direction without warning. Whether used in a political context or simply to describe an individual's change of heart, these synonyms capture the sense of drama and intrigue that comes with doing an about-face.