People citing work would indicate that work's quality, but the complaint about "A New Kind Of Science" was weak citations, an indication of poor quality. I don't know much about the details. Nor do I know how much people have sited Wolfram's work since.

I think what upsets a lot of people is the attitude. But a bad attitude can still accompany good work, so I excuse Wolfram for his quirks. That acceptance is essential when dealing with people who know they are much smarter than the average person.

While at NYU, I saw Wolfram speak while on his big book tour. There were a few big brains at the Courant Institute that leveled major criticisms at the book. Unfortunately, there was another talk about nonlinear PDEs that most of the critics elected to attend in place of watching Wolfram. Wolfram started the talk by saying, "well, the important people aren't here to see this, but I suppose I'll continue anyway".

As one of the hoi polloi, I found the remark amazingly conceited, probably correct, and a bit charming at the same time.

Case in point: you're kovasb@wolfram.com, I'm not an academic.

Wolfram has used his business to unduly promote his research. There is a huge difference between him and a professor making the rounds.