To the original post, I think Kirk's appearance DOES serve as a distraction. BUT Decker had already identified the transporter issue and given orders to replace the faulty part(s). As a leader both Decker and Kirk HAVE to rely on the diligence and professionalism of those under their command. As technical knowledge workers, it's their job to BE the force that prevents accidents like that from happening.
Bottom line, IMO yes Kirk does contribute to the accident, but its the transporter techs in engineering, arguably even Scotty, who have direct responsibility for the accident.