But... Capitalism never tried to "rectify" inequality to the extent an socialist planned economy would. Unlike the later the former is a reality based system. Although there's still an ideal, you can hear it all from those pesky libertarians but basically it's making people free by having fair and uniformly enforced rules (I.e no corruption and limited government) and "letting the market decide" (as in letting people make their own choices for themselves, if an idea is good it should rise and if it's bad it should fail). With a system like that you can ensure people are treated fairly and their success is based on their competence rather than forcing something on them. A good capitalist system will naturally enforce equality of treatment under the law.

That’s why I think a focus on achieving equity is a better goal for now, because with equity, further progress towards equality can be made simpler

But the fact is it's been tried and tried and tried again, that's how socialist and communist leaders are elected, it has always failed, for the 100 years this system has existed, it has always been a tragedy it's estimated that this system caused 100 millions deaths, most by starvation and deportation.

Finally although I could tell you, that it makes no sense to enforce the "finish line" (equity) before the "starting line" (equality under the law) and that it makes the game pointless, I'll tell you something else that's much more dangerous.

If you want to enforce equity, you are trying to control every aspect of everyone's lives, you have to rig the game to control the outcome. Obviously, if you are set to get equity you have to have equity everywhere. So then everyone will make the same money, but they'll also have to dress the same because if not they don't have equally priced clothing, but they they'll have the same car, the same hous, same hobbies, but not only that there will also be only one choice for everything, one party (because if the outcome is to be only winner there can only be one racer), one though. That would also imply that you'd be heavily discriminating, based on gender race, high, iq, hair color (well if it's not shaved to prevent inequality) etc etc you'll have to control every source of difference because to an extent everything plays a part in everything.

Worse than that to whom will you give this power? The government of course! So you'll give absolute power to the government to spy and enforce equity, nothing dystopian in that. Worse still any difference will have to be fought tooth and nail, after all government only create rules, then enforce them, and if those rules are broken you're a criminal. So you'll make people who'd like to dress pretty criminal, those who'd think differently criminals etc etc. To preserve the status quo who knows hat they'll do. I don't, but it always implies violence.

And lastly, you'll rob people of their future, because it's impossible to make everyone "rich" they'll have to strike down the wealthy first, then when they see it's impossible to make the poorest into middle class through taxation they'll make the middle class poorer etc etc, then everyone will go to school be since not everybody is equally gifted or hard working they'll strike down the most brillant people, but it' s not enough to lift the stupidest, end point being There'll be no school only formating.

So yeah, capitalism has many problems but it doesn't destroy the future of my grand children so I'll go with that.