Context, context, context... Who is talking, who is he talking to and what was the situation?
Acts17..Starting vs 24, Paul is talking directly to Greeks on Mars Hill, who were at that time worshipping to a idol called "To an unnamed god".
Yes; their individual time of ignorance He can overlook, just as He overlooks our past sins, when we come to repentance. After all, much of our pst sins could be considered,"following a false god"..false gods of money, fame, succe$$, prestiege and many others.
Interesting how the KJV says "God winked at" ! I doubt it was meant as a wink of approval, as much as a wink sending a serious message..
Words, gestures and customs change over the centuries..and that translation was completed about 500 years ago..