It's dogmatic among the left that "market based solutions are bad". And because Abundance embraces market solutions, it must therefore be bad too.
Basically, all the arguments I've seen against Abundance tend either towards the ideological, or irrelevant. I tend to see very little empirical arguments.
No, the problem is when the markets are freer than the people.
I don't disagree with that. I think economic power getting concentrated in a relatively small number of hands is unequivocally bad.
That said, the Abundance argument for building more housing is that in many local housing markets, the pendulum has swung too far the other way in ways that are well-meaning but ultimately counterproductive. This very article makes the case that oligopolistic economic power is not the reason for unaffordable housing.
Tons of the critics of the book haven't even read it, because large portions of it are about making the government work better, not just using market-based solutions for all our problems.
Housing, though, could definitely use a better market with less constraints like zoning.