Could a late-1950s modernization bring HMS Tiger to 30 or 32 knots, and could her hull withstand it?
Short answerProbably; Tiger was more heavily built than Renown and Repulse, but a reconstruction on that scale would likely replace her guns, perhaps with 14-inch weapons.
NotesTiger's hull was strong enough for the proposed propulsion upgrade. Reaching that speed in the late 1950s would require such extensive work that retaining the original battery becomes unlikely. The ship might emerge with modern 14-inch guns rather than simply as a faster version of her First World War configuration.