No, His sheep are those who have "entered through Me" from Jn 10:9.Jhn 10:27-28
My sheep hear my voice, and I know them, and they follow me. I give them eternal life, and they will never perish, and no one will snatch them out of my hand.
Jesus gives eternal life to His sheep - who follow Him - who are in His hand.
The first statement is absolutely biblical. But not the second one. Jesus promised recipients of eternal life that they will never perish.Those who are not in Christ do not have eternal life - no matter what they have believed.
So, it does matter very much what one believes. If they believe in Christ, He gives them eternal life. And promises that they will never perish.
Yes, sir.1Jo 5:11-12
And this is the testimony, that God gave us eternal life, and this life is in his Son. Whoever has the Son has life; whoever does not have the Son of God does not have life.