This is mostly a semantical question, as different compatibilist philosophers might use the words "having a will" to mean different things. (They are not words with a fixed technical meaning in philosophy). Some may think "having a will" is synonymous with "having free will", while others might think that e.g. if you a mind-controlled without knowing it you might "have a will" (a subjective sense of willing to do things) while not satisfying the conditions for compatibilist free will.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.