Off the top of my head, there are two reasons people seem to de-duplicate code. One is because two or more things happen to share similar code. Another reason is because two or more things must share similar code.

It seems like you are speaking of the first reason. There is no dependency, and the programmer is creating one. IMHO you should have at least 3 instances before creating an abstraction to reduce your code.

The second reason is different though. By creating the abstraction you are not adding a dependency, you are making an implicit dependency explicit. There is a huge difference. In this instance any duplicate code is bad.