Could additional destroyer escorts have spotted the German battleships soon enough to save Glorious?
Short answerAn escort sighting alone would be too late; a second carrier with aircraft airborne could give warning and combine air attacks with a stronger destroyer screen.
NotesMore destroyers could change the circumstances of early British losses, but an escort sighting alone would come too late for Glorious in the argument developed here. The more consequential alternative is Courageous surviving and operating alongside her, with aircraft already airborne. Aircraft could locate the German ships while the carriers withdrew, and a larger destroyer force could make smoke and attack. That scenario depends on correcting the failure to maintain an air search, as well as on having more ships.