Comparing aircraft-carrying cruisers with aviation battleships

Is comparing heavy aircraft-carrying cruisers with aviation battleships at least partly correct?

Only broadly; it is the right general idea but the wrong detailed category.

Aircraft-carrying cruisers and aviation battleships are accepted as broadly related ideas, with a warning that the details differ. The comparison is expressed through the analogy of being in the right sport but the wrong league. It permits a broad connection between the categories without making them interchangeable. No detailed comparison of their designs or capabilities follows.