Earlier quoted context omitted.
Rich people don't "throw away" money, they spend it. The money is circulating and enriching others for services rendered. In fact, the more money they "throw away" the better. The rational thing to do as a capitalist is to capture as much of that money as possible. What they don't do is set it on fire, thereby depriving others of it permanently.
Isn't burning money just the opposite of Quantitative Easing and thus it slightly increases the value of existing money? If burning money is "depriving others of it permanently", then when banks issue currency (e.g. quantitative easing), they are supplying money to others permanently. Logically, it would seem that if you are against the destruction of currency, then you should be a proponent of banks creating as much…
You could argue that they theoretically increased the value of everyone else's money but the actual amount is so infinitesimal it would just add insult to injury. The vast majority of the money in existence is just numbers in bank databases, actual cash is a small fraction and burning an even smaller fraction of that does absolutely nothing beneficial to anyone.