When Jesus said those things, yes it was true. I have to believe that or I would not be a Christian. But at the same time, He said it to the people He was talking to--to His followers and those who would become His followers--People who actually met Him face to face. Jesus never traveled to North America. He knew that in their life time that His apostles would never travel to any farther than they did. Would you want to send all those people in those times who died to "hell"? There is no way the Apostles would have been able to travel to Eastern Asia, to Northern Europe, to North America (which no one in those areas knew existed until Lief Erikson and Columbus), to Australia, to South America. It has been 2,000 years, and there are some places who never knew Jesus even existed. How many people, if they actually met Jesus face to face or their ancestors, would reject Him? That is a question that only God can answer. I am not God and I am not going to pretend that I know everything concerning God.
Right now, I am not ready to dismiss anyone's path to God. All I can say is I don't know.