The second bolded statement is true because turn shape is more determined by edge angles than by increasing counter in speed. Counter is used to get more edge angle however the longer you can stay aero AND maintain adequate edge angles for the turn you need to make, the faster you are likely to be.
If you need more edge angle than you can get from inclination alone then you are must add counter and that usually will cause you to become less aero. There is always a trade off between aero and turn quality. The winners know what trade offs have the best return.
Many, if not most, beginning speed racers counter too much. It's a habit learned in tech events where it is often pronounced and essential to good angles.