So there isn't a specific law that says 'you can be disqualified from driving if caught drink cycling', just 'you can be disqualified for any reason'.
A court has the power to disqualify you from driving for offences committed while you are cycling.
I'm not sure how I can make it any clearer ?
The court needs "sufficient reason" to link an offence to you driving license, but an offence committed on public roads would be enough if the court wanted to go that way.
That's slightly different
Different from what ?
Has it ever been applied to a drunk cyclist?