So you have just flown from A to B to drop a pax off and are going to jump right back into the aircraft and head back to point A. From your quote it appears you would do a full walk around checking everything again.
I do ... mostly. A bit faster, and maybe I don't check every lock nut etc the second time, and if the gauges continue to make sense maybe I don't look in the tanks again. But I do walk round, I do check the oil, and I do all the cockpit checks.