Cottage cheese, by definition, is a cheese made by curdling milk using an acid or rennet of some sort, and then draining the whey, but not really going to any great lengths to press out all the moisture. The result is a very loose, chunky cream-like product.
So, the question is, what if you took cottage cheese (either off-the-shelf or homemade), and then went that extra distance by putting it in a cheese press? Would the resulting product be a different cheese known by a different name, or simply another form of cottage cheese?