I don't believe there's any debate about whether one should use both, rather the debate is largely about the amount of legitimate risk involved in only using the "Park" function of the automatic. While using both is obviously preferred and recommended, the simple reality is that the likelihood of any sort of dire consequence from using only the "Park" function is incredibly small.
ZV
This.
Emergency, or "parking" brakes can and do allow vehicles to move if they come out of adjustment, and being a wear item, they become "unadjusted" quite frequently.
A parking pawl is a mechanical stop inside the transmission. Mostly, it either works, or it doesn't. They damn sure don't slip after the car's been sitting there awhile, or allow it to slowly move.
ZV is right...parking pawls practically never fail, and are much more reliable than the brake, but both "should" be used, especially on hills.
With a stick, you should always park it with the trans in 1st or Reverse. That should be the main thing holding the vehicle still, NOT the parking brake. And be sure you don't leave it in 3rd, 4th, 5th gear. That gives the vehicle's weight a mechanical advantage over the compression of the engine, and can allow the car to move...basically, it greatly reduces the effectiveness of engine's compression holding the car back.
