That doesn't explain how it would help alleviate the tax burden. I would also quit my job if I had a basic income, but my own ideas/interests would not generate me any money so I would definitely go from someone supporting the system (financially) to someone mooching off of it.

Yes, it seems so. However, my argument is not that basic income would not have desirable consequences, but that I think it's not sustainable.

I try to look at the whole system, and I don't see how it would work.