1Ti 4:9 The saying is trustworthy and deserving of full acceptance.
1Ti 4:10 For to this end we toil and strive, because we have our hope set on the living God, who is the Savior of all people, especially of those who believe.
1Ti 4:11 Command and teach these things.
People need to come to the point of believing God, not just believing in God.
I choose to believe that God is the Savior of all people and not exclusively current believers.
I say it that way, because I believe all humanity will come to know Him and trust in Him and worship Him.
Rev 5:13--- "And I heard every creature in heaven and on earth and under the earth and in the sea, and all that is in them, saying, "To him who sits on the throne and to the Lamb be blessing and honor and glory and might forever and ever!"
Very simply, if God leaves one creature (all created beings) unsaved, then the spirit of God could not have allowed Paul to write that "God is the Savior of all people". But we should note that Rev. 5:13 goes beyond humans and includes all creatures.
Praise God for His gracious universal salvation!!!