our technological ability to extract power from the sun is so limited we are forced to mine the earth to extract solar energy from the past (aka oil).
natural resources do run out. they are frequently converted into forms that are unuseable. in the rare event that a natural resource can be converted back to a usable form (recycling) we must further tax our energy reservoirs to perform such feat.
the wealth that was taken from the earth was not taken from anyone you know now. Perhaps your great great great grandchildren will live in a society where oil is more expensive then gold.
However even when we remove all the factors I describe above there is still wealth 'theft' taking place in our society right now. The issue is that some forms of wealth need to be extracted by many people working together. when you have these creatures called billionaires that own wealth they in no way produced all by themselves you know that wealth among these collaberative groups was distributed unevenly. This is known as wealth inequality and it happens as a direct result of extracting wealth from other humans.
You say natural resources don't run out, how about clean air and clean water? Species diversity?
Natural resources don't run out. The quantity of elements on earth has and will remain the same for a few billion years. Application of energy and information permits inter-conversion of their combined forms as we wish, if we're smart enough. Not a given, I admit.
The creation of global wealth over the last 20-30 years has brought millions out of poverty. This is unprecedented. And it hasn't been wealth taken from others.