There are a few different synonyms for the phrase "doeth an aboutface." This expression essentially means to change direction or reverse course suddenly. Some other phrases that can convey a similar meaning include "turning on a dime," "making a U-turn," "flipping the script," or "doing an about-turn." Each of these phrases expresses a sudden change in direction or perspective, and can be used in a variety of contexts. Whether you are talking about political maneuvers, personal relationships, or business strategies, these expressions can help you convey the idea of a sudden shift or reversal.