NO problem with the banter, but forgive me being suspicious; people do like to start and settle scores here from time to time.
As for such an incident's effect on your career, it entirely depends on the cause of the incident and the Chief Instructor's reaction to it. If, as these things usually are, it's an accident or there was a problem with the tyre, it's unlikely ever to be mentioned beyond the bar. If there was a mistake made but lessons were learned, well, that's what flight safety education is about. If their was a right old screw up and the CI doesn't like you anyway, it could affect the next stage. However, that sort of thing is rare.
Scroggs