I wanted to make this a comment on the original question, but 300 characters bites [;<).
I think we need to be careful. First, there are more flavors than the two rather specific examples made in the question.
Also, I suggest that it is valuable not to confuse the objective with the instrument. One wants to make sure that the chosen technique or methodology supports achievement of the primary objective, but I don't thing out-of-context which-technique-is-best discussion is very useful. It does help to know the pitfalls of the different approaches along with their clear sweet spots.
For example, what are you out to accomplish, what do you have available to start with, and what are the constraints?
Are you creating a component framework, even a special purpose one? Are interfaces separable from implementations in the programming system or is it accomplished by a practice using a different sort of technology? Can you separate the inheritance structure of interfaces (if any) from the inheritance structure of classes that implement them? Is it important to hide the class structure of an implementation from the code that relies on the interfaces the implementation delivers? Are there multiple implementations to be usable at the same time or is the variation more over-time as a consequence of maintenance and enhancememt? This and more needs to be considered before you fixate on a tool or a methodology.
Finally, is it that important to lock distinctions in the abstraction and how you think of it (as in is-a versus has-a) to different features of the OO technology? Perhaps so, if it keeps the conceptual structure consistent and manageable for you and others. But it is wise not to be enslaved by that and the contortions you might end up making. Maybe it is best to stand back a level and not be so rigid (but leave good narration so others can tell what's up). [I look for what makes a particular portion of a program explainable, but some times I go for elegance when there is a bigger win. Not always the best idea.]
I'm an interface purist, and I am drawn to the kinds of problems and approaches where interface purism is appropriate, whether building a Java framework or organizing some COM implementations. That doesn't make it appropriate for everything, not even close to everything, even though I swear by it. (I have a couple of projects that appear to provide serious counter-examples against interface purism, so it will be interesting to see how I manage to cope.)