They would state though that God could not be positive as to who would get saved until they decided to get saved
No, because they believe in divine omniscience.
From their Articles:
That God, by an eternal and unchangeable purpose in Jesus Christ his Son, before the foundation of the world, hath determined, out of the fallen, sinful race of men, to save in Christ, for Christ’s sake, and through Christ, those who, through the grace of the Holy Ghost, shall believe on this his son Jesus, and shall persevere in this faith and obedience of faith, through this grace, even to the end; and, on the other hand, to leave the incorrigible and unbelieving in sin and under wrath, and to condemn them as alienate from Christ . . .
. . . That man has not saving grace of himself, nor of the energy of his free will, inasmuch as he, in the state of apostasy and sin, can of and by himself neither think, will, nor do any thing that is truly good (such as saving faith eminently is); but that it is needful that he be born again of God in Christ, through his Holy Spirit, and renewed in understanding, inclination, or will, and all his powers, in order that he may rightly understand, think, will, and effect what is truly good, according to the Word of Christ, John 15:5, “Without me ye can do nothing.”