Harry dropped the stone out of nerve. But he doesn't go back and get it because it is a very great temptation for him to bring the dead back,or or see his dead loved ones. I don't think the stone only brings a fake imprint of a person back. At some part in deathly hallowsDeathly Hallows it was mentioned that using the resurrection stoneResurrection Stone meant bringing the dead out of peace, witchwhich I think it means that the are bringing back the soul of the dead person with aan imprint of their body when they were alive.