Fiscal stimulus is when the state pays money that it already has (or that it borrows for the purpose) into the private sector so that private entities will have cash and engage in spending.
Monetary stimulus is when the central bank increases the supply of money in the economy to control the value of a unit of currency as measured relative to units of goods and services, which in theory can have similar effects on people's spending behavior.
Either can be done with any degree of fairness or unfairness.
And neither necessarily has to be done by the mechanisms through which the world's governments have historically tended to do them.
I agree that I don't want a few unelected central bank officials making decisions about wealth distribution. That doesn't mean that congress can't specify a different mechanism for them to introduce money into the economy.