Is 'He died for all, that they who live should not henceforth live unto themselves' the gospel?

Les explains that 2 Corinthians 5:15 is the Gospel: “He died for all, that they who live should not henceforth live unto themselves, but unto him who died for them, and rose again.” He points out that this same Gospel keeps popping up throughout Paul’s writing. In 1 Corinthians 15 Paul delineates it as the Gospel: how Christ died for our sins, was buried, and rose again. Les warns that if we believe anything but that, we are not believing the Gospel; it is a false gospel. He says the Holy Spirit prompted the man to bring it up again and again—Christ died for our sins and rose again. Before this, the context describes the lost world as still dead in trespasses and sins, walking according to the course of this world and the spirit working in the children of disobedience, which underscores why the Gospel must be this message of Christ’s death and resurrection. Les then turns to Hebrews 2, saying He makes it so plain, and he urges believers to wear out their Bibles in service to God.