An utterly useless human activity, that does nothing for actual humanity but simply serves as a wealth redistribution technique shared among a tiny number of highly-self-interested individuals ... it might be "pure" but it's not "pure" in any way.
Have you ever wonder why the markets appear so irrational? Great economic data and the worse drop in months or vice versa. These are the expectations, emotions and psychology of the masses that are liquidated by market makers. Have you also just had a gut instinct to buy or sell and market moves completely opposite beyond your psychological limit. Only for it to start moving into profit once you have closed at a huge loss. This is all market makers do all day.
In principle there is nothing immoral here. Participants are all taking risks voluntarily, no one is forcing you risk trading the stock market. But in practice market makers take positions at the stop losses 90% of market participants giving them significantly overwhelming supply of assets at the best prices, while everyone else sees consistent intractable losses.
This is a Darwinian environment where only the biggest, fiercest and most aggressive players will win by killing weaker, smaller and less knowledgeable players. The only way for a small fish to win is to understand the rules the market makers play by. Their strengths, desires, weaknesses, limitations and once you do you realize that this was someone's capital, but it's also capital not going to the market makers.
You're ignoring my objection to this stuff, which has nothing to do with immorality and everything to do with with the waste and misdirection of resources. Why do people participate in this stuff? Because someone might get rich. From my POV, that's a waste and misdirection of resources. People getting rich is not the right motivation for pareto or utilitarian optimal allocations.
And it's precisely the GPs unwavering certainty that HFTs are net negative that accurately informs they do not understand the full implications of what HFTs offer.
Because when you're aware of the full picture, it is not at all obvious society will be better off without it.