If the poor get richer and housing gets more expensive slightly faster, the poor will be homeless in 30 years.
Today, the majority are literate and at least somewhat educated, have electricity and usually indoor plumbing, have telecommunications that communicate with at least half the world instantly, and today food insecurity mostly depends on market manipulation and international shenanigans rather than acts of god. Except for remote tribes that aren't integrated into modern society, across the world the poor are much better off than they were 200 years ago.
If you tell people you want to reduce inequality we tend to correctly assume the intent is to make the poor better off, we're not AI searching for the most absolutely effective solution to reduce inequality to 0 by killing everyone or something.
The worsening social mobility measurements are one reason to be concerned.
I contend many rich are rich precisely because they improved life for so many poor. Earn $1 for improving life for each person on the planet and you reap billion$ - that’s fair & laudable.
- In many of the most important areas, e.g. home ownership and choice of career, the poor in America have gotten poorer.
- Due to America's lack of campaign finance reform, extreme wealth allows the rich to buy off the government.
- Even if the poor get somewhat richer, that doesn't mean they got as much richer as they would in a more equitable system.
- Inequality becomes a problem if the rich control so much of a resource (e.g. housing) that there is not enough available for the poor.
- Inequality creates a power imbalance which can allow the rich to abuse the poor and/or make them unaccountable to society.
If we all worked together to make the world better, why should only a few benefit so much?
If I inherit 1 billion dollar and place it in the SP 500 I will increase my wealth progressively compared to basically everybody, but my productivity is 0. The state could have taxed my inheritance 100% and done a similar investment with the same effect to the economy except inequality would be lower instead of higher.
We have more than enough collective wealth and resources to solve those issues, by securing housing, food and healthcare for everyone. Yet we choose not to, because it isn't profitable enough for those who already have plenty.
The "not even medieval lords had access to HVAC" argument ignores that the baseline changes as society evolves. And a lot of people in first world countries still don't have access to the things you mentioned. That is an absolute travesty.
What does that say about those who have more wealth than they could spend in several lifetimes?