You seem to come to the Greek text with preconceived notion that salvation is a conditional salvation based upon we do or do not keep doing, so read into the text that understandingI have 18 semester hours in Greek from a fully accredited Arminian college. Incredibly, I have discovered that Baptist Greek scholars and Arminian Greek scholars do not agree. I have pointed out several times that you make the exceptions to the rule the rule which are poor conclusions. Greek scholars from Catholic, Anglican, Methodist, Church of Christ and many other Arminian churches disagree.
I have found 57 "believe" present participles. All of your rules include "some," "a few" and "many" which make them the exceptions. In fact, most of the 57 present participles of "believe" do not contain your so-called "aorist control verbs." My list present "believe" participles from the majority of texts are ALL PRESENT TENSE. You insult God's inspired choice of present participles over aorist verbs by refusing to translate these texts as "continuously believing."
Rom 1:16 “For I am not ashamed of the gospel of Christ: for it is the power of God unto salvation to every one that (continuously) believeth.”
Rom 3:22 “Even THE RIGTEOUSNESS OF GOD WHICH IS BY FAITH of Jesus Christ unto all land upon all them that (continuously) believe.”
Rom 4:5 “But to him that worketh not, but (continuously) believeth on him that justifieth the ungodly, his faith is (being) counted for righteousness.”
Jn 6:35 I am the bread of life: he that (continuously) cometh to me shall never hunger; and he that (continuously) believeth on me shall never thirst.
Jn 6:47 He that (continuously) believeth on me hath everlasting life.
Jn 7:38 He that (continuously) believeth on me, as the scripture hath said, out of his belly shall flow rivers of living water.
Acts 24:14 But this I confess unto thee, that after the way which they call heresy, so worship I the God of my fathers, (continuously) believing all things which are written in the law and in the prophets:
Rom 10:4 “For Christ is the end of the law for righteousness for every one that (continuously) believeth.”
Rom 10:11 For the scripture saith, Whosoever believeth on him shall not be ashamed.
Eph 1:19 “And what is the exceeding greatness of his power to us-ward who (continuously) believe.”
1 Th 2:13 The word of God which effectually worketh also in you that (continuously) believe.”
Heb 10:39 “But we are not of them who draw back unto perdition; but of them that (continuously) believe to the SAVING of the soul.”
1 Jn 5:5 “Who is he that overcometh the world, but he that (continuously) believes that Jesus is the Son of God.”