Candidate filing began this week for the state’s presidential primary amid questions about whether the contest will have any bearing on choosing presidential delegates. As of press time, four Republican presidential aspirants have signed up for next February’s contest. That list includes former Massachusetts Gov. Mitt Romney, Georgia businessman Herman Cain, former New Mexico Gov. Gary Johnson and St. Louis resident Michael Meheen. Republicans opted to select their delegates through a caucus process after the legislature failed to pass legislation moving the primary from February to March. …