Cycling with a few pints in the belly is one of the freedoms which cycling still affords us, so enjoy it while you can. Some do-gooder nobber will no doubt manage to get the law changed at some point.
In Scotland, a competent charge would be "drunk in charge of a carriage", but that would entail being drunk to the point of being incapable of looking after yourself. Steaming drunk and legless, basically. That is hugely different to being "over the prescribed limit", which is not possible for a cyclist as there is NO prescribed limit.
As for points on licence, how would that work when you don't need a licence to cycle? It would be grossly unfair to put points on the driving licence of those who have one, when others cannot be similarly penalised.
Cycling is not driving so let's not even go there; unless we want similar conditions imposed on us such as mandatory insurance, cycling tests and licences, registration, roadworthiness tests, etc...