you see Id argue they were mostly correct in that instance, section 30 of the RTA says you can be charged with an offence to ride a bicycle when you are under the influence of alcohol or drugs to the point that you cannot properly control riding the bicycle.
now it doesnt specify there is a statutory limit, or that the police can legally force you to breath test, its still a purely subjective test...
so this depends on how you were asking the questions of it, because the AI cant determine your end goal position,
a cyclist stopped for a suspected under the influence of alcohol riding, who then submitted to a breath test, which even if they didnt btw if the police person who stopped you stated in evidence they believed you were over the limit for a car driver, which is their subjective limit test, youd have been almost certainly be found guilty of the offence by a court, as they would draw the comparison, even if legally there is no limit applied to cyclists, cyclists are still bound by the law to ride responsibly and a comparison to car driving alcohol legal limits would be considered a fair comparison subjectively if you are sharing the road, and whilst legally they didnt have to comply with the request (albeit depends on how good their solicitor is at drawing attention to such things as un-admissable evidence), it could easily be covered by careless and inconsiderate cycling instead anyway.