I wouldn't want that for you, and I wouldn't want that for myself.
Humans created a society for a reason, and it wasn't so that we could each keep everything we earn and have a slightly bigger flat-screen TV. The collective protects the individual from Bad Things that can be devastating for that individual, in exchange for a tiny bit of each individual's earnings. With that tiny bit, we can also build infrastructure that would be otherwise economically infeasible for a private entity to fun (or for each individual to build himself), but is beneficial to society at large. Roads, public transportation, the Internet, etc.
Assuming that everyone should live in isolation ignores basic human biology -- we are a social animal, and we need the collective.
The fairest method would be: Who creates the most wealth, gets the most wealth. The current method is: Who negotiates the highest salary (founders and passive income excluded), gets the most wealth. Basic income method: Everybody gets an equal little piece of the wealth, the rest is distributed like before.
It seems fairer to me, because for example moms are not compensated with the current system.