Evidently Lott disagrees --- the article says the May issue of the Stanford Law Review will have a piece on this study plus an update by Lott of his work and a rejection by Lott of the findings of the Brookings "study".
When Lott's work was first published, all sorts of people came out of the woodwork with critiques. Lott patiently demolished these, and I suspect that will be the case here as well....
I'll be very curious to see Lott's rebuttal. I honestly cannot see what he can complain about. Even when Donohue copied Lott's methodology, but only extended the data to include years' Lott's paper didn't, the Lott's results disappeared.