No it doesn’t.
Lynch actually models the time to fixation under a range of possibilities, instead of restricting his case to just Behe’s.
As Lynch writes:
Second, Behe and Snoke assume that only two specific amino acid sites within a protein are capable of giving rise to a new selectable diresidue function. Given that the average protein in most organisms contains between ∼300 and 600 amino acids, this assumption is also unrealistic. Increasing the number of participating amino acid sites from n =2 to just 10 can magnify the probability of neofunctionalization by more than 10- fold
Notice how as the number of sites that can potentially participate in the specific multi-residue function increases, the arrival time to that specific result still decreases exponentially.
And he explains what the problem with Behe’s Texas sharpshooter fallacy is, as you saw above. That’s why he concludes:
In summary, the conclusions derived from the current study are based on a model that is quite restrictive with respect to the requirements for the establishment of new protein functions, and this very likely has led to order-of-magnitude underestimates of the rate of origin of new gene functions following duplication. Yet, the probabilities of neofunctionalization reported here are already much greater than those suggested by Behe and Snoke. Thus, it is clear that conventional population-genetic principles embedded within a Darwinian framework of descent with modification are fully adequate to explain the origin of complex protein functions.
And it still has nothing to do with Howe et al.

