I get it. Makes sense. Let me try.

"God is the Savior of all men, specially those who believe" (1 Tim. 4.10).

The clear reading of this verse puts "those who believe" as a subset of "all men" that God is a Savior of by the word "specially". Therefore, there must be some quality of "all men" that is inherent to the quality of "those who believe".

What is that quality? This quality or nature is not that all men are saved, because "specially those who believe" distinguishes those who believe from those who don't believe out of all men.

"All men" can't refer to "all men in various places" because that is nonsensically redundant to say, "God is the Savior of all men in various places, specially those who believe." Such a statement leads one to ask the question who are these whom don't believe and yet are saved as those who believe?

"Savior of all men" can't refer to God merely only a sustainer of a person on earth before they die and go to Hell, for what love or lack of power is that to not be able to save them from sin, self, evil supernatural and from Hell? Surely God would not stop short of His glory! Nor would that glorify God to stop short of His glory!

Therefore, the only option available is "Savior of all men" must refer to the fact that God provides sufficient grace to all to have the free choice of which only "those who believe" are saved. Did Jesus as Savior not die on the cross for the sins of the whole world that whosoever believes in Him shall not perish but receive everlasting life?