Navies avoided renaming expensive rebuilds because a 'new ship' attracted scrutiny

Have major rebuilds changed a ship so much that navies considered renaming or reclassifying it?

Reclassification happened, but navies often avoided upward changes or new names because treasuries might count the result as an expensive new ship.

Classification was partly a budgetary language game. Reclassifying a destroyer downward as a frigate could make it sound economical, but declaring a rebuilt ship to be a new or larger type invited scrutiny; U.S. postwar cruiser, frigate, and destroyer-leader terminology became especially tangled.