Some of the research, including this paper, is trying to get at the question of whether a species' sensitivity to the bouba-kiki effect might be at the root of language or not. Since it seems accepted that chickens do not have language in any meaningful sense of that term, finding that they still show this effect decouples it from "the origins of language".
bouba-kiki has been previously shown not to exist for some set of other primates. given the general sense that they are closer to some form of language than baby chickens, its presence in the latter and absence in the former would suggested that it is not necessary.
all this research could be deeply flawed, however.
It's a hypothesis. How would you prove or disprove that it's because of that? (and I would say, a priori, it's not utterly obvious that the brain would relate spacial and temporal frequencies like this)