James White's arguments are based on his understanding of the passage from a Calvinistic understanding, and his conclusions cannot contradict this.
He shows his real lack of understanding of the Greek grammar here, with his statement,
"False. I have argued that if you are going to give a middle translation you cannot simply say, “Well, the form is a middle/passive, so I’ll go with the middle.” Any serious translator of the NT knows the passive predominates in such situations, and that one must defend any translation where one insists upon taking a non-normative reading over a normative one. So again, I would challenge our author to produce any statement where I have said “the middle voice is impossible in this verse.” I have rejected the reading of the middle on a simple basis: no one has yet to provide any compelling reason to adopt it."
It is a known fact in the Greek here, that "τεταγμένοι" can be either in the passive or middle voice. The former sees God as the author of the action, and the latter as those Gentiles as the author. But, White has not taken into account another important rule in Greek grammar, which says that the voice of the word is to be determined by the context that it is used in. He rejects it not because the Greek grammatical evidence is against the middle voice here, but because he simply cannot accept this fact due to his predisposed thinking as a Calvinist. I have already shown in my opening remarks, that the context of the passage, with the Jews "themselves" rejecting the Gospel, which is an action that is seen as "middle voice", as they "did it"; and then the Gentiles who are said to have embraced the Gospel Message preached to them. There is no point in using Scripture, if we are going to make it tell us what we want to hear, and not what it actually says, which is what White has done.
The passage of Lydia is no problem, as it clearly says that she was "a worshiper of God", which means she was already seeking the Lord, before the Lord sent Paul with the Gospel for her salvation. the Bible exhorts us to "seek the Lord while He may be found". The same is the case of Cornelius in Acts 10, who also was seeking the Truth and the Lord sent Peter with the Gospel for salvation. What do you make of verse 35?
"Then Peter opened his mouth and said: “In truth I perceive that God shows no partiality. But in every nation whoever fears Him and works righteousness is accepted by Him"