When wealth is spent...or invested...basically, when it moves around the economy, it's a good thing for the economy. If, however, wealth simply sits in one place and doesn't move around the economy at all...it's a bad thing for the economy.
These are generalized statements, but they represent basic economic facts. So arguably, being "wealthy" doesn't hurt the poor...unless that wealthy person basically holds onto large amounts of wealth that never leaves his possession. If enough wealthy people do this for long enough...you start to see larger and larger income gaps and an increasing number of poor people.
I see this meme about how the wealthy keep investing and making others wealthy a lot. Like a lot of things that are not true, repeating it over and over again will lead people to believe it is true.
The intent of investing is a process of using one's money to make even more money. The money leaves the 'possession' of the wealthy only temporarily. Certainly a bad investment will turn out to be a permanent loss, but people skilled in investing rarely have that happen to them. The ones who are not skilled at are not investors for long.
On the Capitalist side of money, jobs are designed to return more money to the employer than the job costs. Capitalism is even self correcting for those few who don't get more back from a job than the job costs...they go broke and don't remain in business long enough for significant amounts of money to return to the masses.
Capitalism is similar to casino gambling, even though some people make money from it, it is the owners who consistently make money. In 1935 a board game was created called Monopoly. It is played even today. The way one wins the game is to capture all the money in the game and force everyone else to go broke.
It is based on Capitalism. And just as people in the game 'invest' their money in improving their properties because it results in them getting more and more money, that is the only reason the wealthy invest their money. They end up with even more money.
America, specifically and the rest of the planet generally, are in the final stages of a real life game of monopoly. And just like the board game, there is only one winner and everyone else goes broke.
Unfortunately, unlike the board game, the losers don't just go to the kitchen, make sandwich, get something to drink and come back to see who wins. In the real life game, people die.