Do you know of any research supporting that? It sounds plausible to me but a quick search turned up nothing.
McDonald's, to give a famous example, proved analytically a few years back that -- beyond a certain threshold of commonly expected service times -- their customers would rather get semi-slow service on a consistent basis than highly variable service. In a perfect world, of course, average wait times are as short as possible in addition to a minimization of variance. But when you're at the level of acceptability, there are diminishing returns on speed increases and increasing returns on reduced variance.