I doubt that we'd have been allowed the Cycling Proficiency badge, BlackadderV. Indeed, I suspect that it would have been seen as something that only 'little children' had and definitely not appropriate for 'young gentlemen'.
The 'young gentlemen' thing was constantly impressed upon us. For example, any pupil who played soccer for an organised team in their own time (e.g. after school or at weekends) would be automatically expelled. Soccer, we we were repeatedly told, was a game only played by 'common boys'. The only winter sport appropriate for 'young gentlemen' was rugger!