Well, that doesn't change what the Scriptures say. The promise is to the one who is present tense believing. If one stops believing he no longer has the promise of the Scriptures. You can believe the doctrines of men or you can believe what the Scriptures say, it's up to you.
Just some verses for you to consider:
Who shall bring any charge against God's elect? It is God who justifies. Who is to condemn? Christ Jesus is the one who died—more than that, who was raised—who is at the right hand of God, who indeed is interceding for us. Who shall separate us from the love of Christ? Shall tribulation, or distress, or persecution, or famine, or nakedness, or danger, or sword? As it is written,
“For your sake we are being killed all the day long;
we are regarded as sheep to be slaughtered.”
No, in all these things we are more than conquerors through him who loved us. For I am sure that neither death nor life, nor angels nor rulers, nor things present nor things to come, nor powers, nor height nor depth, nor anything else in all creation, will be able to separate us from the love of God in Christ Jesus our Lord. (Romans 8:33-39 ESV)
Truly, truly, I say to you, whoever hears my word and believes him who sent me has eternal life. He does not come into judgment, but has passed from death to life. (John 5:24 ESV)
I give them eternal life, and they will never perish, and no one will snatch them out of my hand. My Father, who has given them to me, is greater than all, and no one is able to snatch them out of the Father's hand. I and the Father are one.” (John 10:28-30 ESV)
This last one I believe is the strongest case against OSAS (although the best arguments come from a case built from all of scripture taken in context). But this one tells us that nothing will take us from Christ, because God is too strong. Now, to suggest that nothing else can do it, but that we, in our own selves, are stronger than God...yeah..I'm not really believing that!!