Product review (4 stars): That worked fine and solved the problem
The thin piece of plastic which keeps the agitator dogs in place arrived broken.  I tried using the corresponding piece from the old part, but the diameter of the new part is enough bigger that it wouldn't slide quite all the way on.  As a result, I just took out the agitator dogs and used them with all the rest of the old kit.  That worked fine and solved the problem.