When Muslims talk about abrogation, what they mean is that one verse has greater legal weight than the other. For example, as governor of a State, if I issue a statement that drunk driving is killing a lot of people, then few months later issue a warning that drunk driving will not be tolerated, and finally issue an executive order that drunk driving would result in the suspension of driving privileges, am I abrogating my previous statements? It is simply progression of law.
On the subject of drinking, several Quranic verses were revealed, all of which considered drinking to be wrong, but addressed the problem of drinking in several stages. The early verses tell Muslims not to approach prayers while under the influence, and the verses are called “abrogated” because a more stringent verse was later revealed which called drinking an evil act. In other words, from a legal/theological point of view nobody should argue that drinking is only prohibited when approaching prayers and not at other times. Having said that, the first verse is still relevant because there could be some Muslim alcoholics who may still pray but not when they are drunk. If they disregard that, they are guilty of additional sin. That is not unusual in American law where a person can be charged on multiple counts for the same crime.