Why Britain could not simply copy U.S. turboelectric drive

Could an F3-derived ship use American-style turboelectric drive to improve machinery subdivision?

Technically yes, but Britain lacked the established system and would have disliked dependence on American equipment and spare parts.

The U.S. standard-type battleships showed that turboelectric drive could meet the power requirement and support flexible machinery subdivision. Britain, however, did not possess the same mature equipment base. The Royal Navy would likely have resisted importing a propulsion system whose specialized parts and support depended on the United States. The distinction between what could power the ship and what Britain could sustain in service turns a technical option into an industrial and logistical risk.