If drinking makes you less anxious and your stutter comes from anxiety, I can imagine that drinking “helps” with your speech. That doesn’t go to say that you should drink in order to be or feel more fluent. It means that you should look for other healthier methods to archieve a similar result. Or else, where is the limit? Are you just going to keep drinking until it becomes a problem? Are you going to use drugs when the alcohol doesn’t have the same effect?