Redistribution takes three forms---one of them includes standalone welfare payouts.
Jeffery Miron 21, Senior Lecturer and Director of Undergraduate Studies in the Department of Economics at Harvard University, “Rethinking Redistribution,” https://www.nationalaffairs.com/publications/detail/rethinking-redistribution
Whether one agrees with it or not, this popular understanding of redistribution's purpose yields some useful criteria for assessing the degree to which our redistribution programs are actually succeeding. The aims of helping the poor and minimizing harm to everyone else, in other words, offer some specific ends against which our means of redistribution can be tested.
By and large, those means take three forms. First, there are direct anti-poverty programs, like Temporary Assistance to Needy Families (what we commonly think of as welfare), food stamps, Medicaid, and the Earned Income Tax Credit. Second, there is progressive taxation, which transfers wealth from richer to poorer Americans across the income distribution. And third, there are policies that tilt economic outcomes in specific markets to benefit people with lower incomes(minimum-wage laws are a classic example).