Would the US Navy have kept turbo-electric propulsion?

Without naval treaties, would the US Navy have continued using turbo-electric drive?

Possibly. Its survivability advantages could have encouraged further development, including a simplified steerable electric drive.

Turbo-electric drive gave Lexington and Saratoga redundancy that could help them retain propulsion after damage. Continued investment might have improved the system enough to interest other navies. One possible development was pod propulsion or a steerable electric drive. Modern versions use sophisticated controls, but a simpler arrangement with wheel steering and a power lever is proposed as a possible route. These are possibilities for further development rather than features of a completed interwar design.