This is a pretty standard severance agreement. The company offers a cash bonus to make sure that the employee fired leaves amicably and will not cause any further issues down the line. That way everybody walks away with something to keep them reasonably happy. This sounds like roughly one to two months severance which is pretty standard (I've seen up to 6 months in the case of layoffs but firings tend to get less).
The story is trying to make a big deal out of something that really isn't.
I've had one in my career. I think it probably is standard among companies that try to maintain an image that is a little too divergent from the truth for comfort. BCG certainly fits this mold.
I've never been asked to sign one by an ordinary company whose presented public image was in line with reality.
Those companies probably still had disgruntled employees, they just didn't feel the need to clamp their jaws shut with money.
Mmmmm I guess this is standard but not a honourable discharge. It's not that uncommon to help the leaving employee find a good position in another company so that he/she can become a future customer, being part of the alumni network.
The story is trying to make a big deal out of something that really isn't.