Sorry about the ad homs; the reviewer used moral/philosophical instead of technical reasons to argue against (except that point on simulations), so I assumed he was a riled up layperson. I read his review too fast, I guess.

The reviewer's point is this:

"Finally, the author is not asking me to personally give more money to the government, he wants me to support forcing other people to do it. But those other people have average luck, by definition "

But that's wrong; if the tax is progressive, and you take it as given that the successful are lucky, then you are in fact taxing the lucky with a progressive tax. The question is targeting the tax correctly.