Apparently there cannot be much secular evidence for the traditional chronology because according to the the site you recommended there is uncertainty between 586 or 587. So much for the abundance of secular evidence.
Scholar is hung up on the fact that there is no evidence to pin the date exactly to 586 or 587 so therefore it can't be accepted. Most of us are hung up on the fact that there is no evidence to support 607 so therefore it can't be accepted. Okay, none of it can be accepted. I guess we'll have to accept the fact that nobody really knows when Jerusalem was destroyed then.
If that's the case, no one can determine when Jesus might return if his return is based on the date of the fall of the temple. We're right back where we started. The Society is still wrong. The date is wrong, and their interpratation is just that, interpretation. I can interpret however I want and be just as right as they are.