Despite the fact you have to write less code? Are there any other advantages of introducing method references in Java 8?
Having to write less code is enough of an advantage to consider introducing a language feature. There is a similar feature in C#, called method groups, that makes it easier to write code that uses delegates. Lambdas are shorthand for anonymous classes, and anonymous classes could be considered shorthand for named classes. One could legitimately call them "syntactic sugar", yet all these features help you write less code.
In addition to letting you shorten the code, the feature has a potential of helping designers of Java compiler generate more efficient code. For example, it might be possible to avoid generating a brand-new type for each lambda wrapping a method reference.