Given:
public class X {
  private static int get42() {
      return 42;
  }
   X() {
       this(get42());
   }
   X(int x) {
   }
}

The finder recommends that get42() can be local to X()

If you move it in as a local method, it has to lose its private and static modifiers and the code would look like
(the only modifiers accepted in a local method is final)

public class X {
   X() {
       int get42() {
           return 42;
       }
       this(get42());
   }
   X(int x) {
   }
}

This presently triggers: X.java:8: error: call to this must be first statement in constructor.

Javac should allow local methods above this()/super() call, implicitly forcing them to be static.