It's not about valuing rich over poor - it's about responsibility. If I'm responsible for paying for myself and paying for others, while the others aren't responsible to pay for anything.
I can't afford to get sick, so I eat right, exercise - and I do the same for my family. The cost of getting sick, for me, is great - not only in dollars spent, but dollars not earned.
For someone who isn't responsible for paying their own way - there is no incentive to stay healthy, because someone else will pay for it when they get sick.
Next, you'll say that you deserve a house on the public dime - and that "the housing taxes you pay go to paying the home builders - everyone gets a house" and after that "the transportation taxes you pay go to paying the car builders, everyone gets a car", then "the playstation 5 taxes you pay go to paying Sony, everyone gets a playstation 5"
Socialism has no limit, because the people voting for it always want something more. Eventually, it isn't worth it to work and everyone ends up on welfare with a smaller and smaller pool of people actually paying into it. Governments start printing money to cover the shortfall, and then you steam toward a Weimar Republic situation.
History, you should learn some.