These just some personal musings between you and I, so no one else will know what I am thinking.
To the average Joe Witness, these esoteric interpetations of ancient characters, results from astronomical software, and such, fly over their heads.
I guess the average JW simply says, "that's what the 'brothers' in Brooklyn say, and they have the resources. End of story."
All that the writer of the article needs to say, is that some anonymous people have conducted an undescribed unverified analysis and their unseen report supports the WTS. When this is done, that is good enough for a True Believer, because of who said it -- the WTS.
What goes through my mind is that there is a number of astronomical tablets in the British Museum, which singly and together confirm the accepted dates for Nebuchadnezzar. There is thus the weight of evidence, not just VAT4956.
Interestingly, the WTS relies on an astronomical tablet for its method of getting to 539 BCE, so the WTS should not deny the integrity of astronomical tablets out of hand. Pity is that "their" tablet has admitted errors, and it is a calculation, not an observation. So their arguments against records of calculated eclipses is an "own goal".
Did you see the pic on page 32 of my Critique: