Great pictures of BB’s and carriers, btw. I can understand how someone looking at a battleship could get locked into the idea of their invulnerablility. Compare one of those with its main battery going off to a carrier with a few planes sitting on the flight deck and it looks like no contest.
Until the Japanese sank H.M.S PRINCE OF WALES and REPULSE off Malaya in December, 1941, no aircraft attack ON A MANEUVERING warship had succeeded in sinking her [BISMARCK comes to mind. Damaged yes, sunk, no]. In the only previous carrier/ surface vessel combat, SCHARNHORST and GNIESENAU sank the British fleet carrier H.M.S GLORIOUS. So no one was certain a carrier could sink a battleship. And as you point out, it appears a mismatch - in favor of the battleship.
The BB's had a combat radius of a little over 40 miles. The CV had at that time a combat radius of over 200 miles.