"No one really expects the PhD scholar to turn up to work in a lowered sports car with the sound system up."
1. During my own PhD and all subsequent jobs in academia I never gave a single thought to how anyone else arrived at the building. I doubt other people did either.
2. If anyone at UoB did care about Jessica's car, it won't have been because she was a "driving contradiction", it will have been because the extremely limited student parking is a 15 minute walk away from the psychology department, so for her to "turn up to work" in a sports car she must have been driving it into the foyer. That's the only way anyone could have seen what she drove.
But no, in Jessica's mind everyone must have been fixated on her every move as she blasted 'Strongly and Successfully' into their midst, so of course they were shocked by her car.