I think it's more like the second one because there will only be one instance of Bar created by the lambda.
I write a Test class:
public class LambdaTest {
    //create a new runnable for each loop
    void test1(){
        while (true){
            invoke(new Runnable() {
                @Override
                public void run() {
                    System.out.println("---");
                }
            });
        }
    }
    //create only one Runnable
    void test2(){
        Runnable runnable=new Runnable() {
            @Override
            public void run() {
                System.out.println("---");
            }
        };
        while (true){
            invoke(runnable);
        }
    }
    //use lambda
    void test3(){
        while (true){
            invoke(()->{
                System.out.println("---");
            });
        }
    }
    private void invoke(Runnable runnable){
    }
}
And here is the bytecode for each method:
test1:
         0: aload_0
         1: new           #2                  // class LambdaTest$1
         4: dup
         5: aload_0
         6: invokespecial #3                  // Method LambdaTest$1."<init>":(LLambdaTest;)V
         9: invokevirtual #4                  // Method invoke:(Ljava/lang/Runnable;)V
        12: goto          0
test2:
         0: new           #5                  // class LambdaTest$2
         3: dup
         4: aload_0
         5: invokespecial #6                  // Method LambdaTest$2."<init>":(LLambdaTest;)V
         8: astore_1
         9: aload_0
        10: aload_1
        11: invokevirtual #4                  // Method invoke:(Ljava/lang/Runnable;)V
        14: goto          9
test3:
         0: aload_0
         1: invokedynamic #7,  0              // InvokeDynamic #0:run:()Ljava/lang/Runnable;
         6: invokevirtual #4                  // Method invoke:(Ljava/lang/Runnable;)V
         9: goto          0
In test1, each loop will crate a new instance of the anonymous class and call init method.
In test2, there will only be one instance of the anonymous class, and has the smallest number of opcode in the loop.
In test3, the only difference between test2 is that there add a invokedynamic before invokevirtual opcode in the loop.
According the this article, invokedynamic will call a bootstrap method to create an instance of the anonymous class for the first time, after that it will use the created instance for the rest of its life.
So my suggestion is: Use lambda when ever you like, don't have to care about the overhead.