@LesMoore … here in the San Francisco area at least, the show broadcast Oct 21 matched the podcast call for call, and which also matched this website’s description summary of the calls. The final call (the one broadcast and the one on the podcast) is where Tom and Ray call David, but he doesn’t answer, and involved David’s sister borrowing his car and it got accidentally damaged. Nothing on the show was about someone running her dad’s car without oil.
I expect that you heard a different episode of the show in your local area. Perhaps a prior taped episode was broadcast for some reason. Or more likely, your local NPR station is having a contribution period, and the local stations often broadcast special Car Talk episodes for contribution weeks. Special Car Talk’s are provided to the local NPR stations with extra segment breaks for time for the local station to remind folks to donate. these are completely different from the normally broadcast show most of us receive.