Source, please? And please, not someone's blog.
If this animal study applies to humans, the opposite would be true. LAIV vaccination would both increase the number of bacteria the vaccinated carry, and would prolong their carriage time -- and hence transmissibility -- for 28 days or longer after administration. This is in addition to the fact that even the FluMist live vaccine insert provides ample evidence that the vaccine can infect the recipient with an infectious form of influenza that can be shed to others as long as three weeks after receiving it. They also pointed out that, while they did not find evidence of harm, there is reason to be concerned: "The potent and often lethal effects of an antecedent influenza virus infection on secondary bacterial disease have been reported previously (11, 21, 44–46). Viral replication induced epithelial and mucosal degradation, and the ensuing innate immune response yield diminished capacity to avert secondary bacterial infections. Recent clinical and experimental data suggest that influenza virus infection may exert its influence beginning in the URT by enhancing susceptibility to bacterial colonization (14, 47, 48) and increasing NP carriage density (36).
The main implication of this study is that, "live attenuated viral vaccines may have unintended consequences on important human bacterial pathogens unrelated to the vaccine target species." In fact, this study may explain concerning side effects associated with the FluMist live attenuated influenza vaccine that traditionally have been attributed to the vaccine virus itself - and not to secondary bacterial infections it may elicit.
It MAY, but it also MAY NOT. IF it is so means that it also MAY NOT be so.
Bottom line: Proof over supposition.