The claim that planetary data is less reliable is not accurate. If you think of planets marking time like an hour hand on a clock, with the moon like a minute hand, then obviously lunar data would be more reliable for marking a specific day than the planets would be. The planets would be less precise for determining one day after another compared to lunar movement, but it makes then great markers for what year is being described. The "researcher" is either unaware of this and is unqualified to examine this evidence, or knows it and dishonestly hides this data so that the deception might not be uncovered.
What you are looking for is " Saturn was in front of the Swallow " (Pisces) and " Jupiter was above α Scorpii " (Antares). The year in question would need to meet both of these conditions. 568 BCE meets that test, while 588 BCE does not.
The bottom line is that using the data from VAT 4956, which the Watchtower currently accepts as valid, Stellarium shows that Jupiter and Saturn were in the positions described in the tablet in 568 BCE, and could not possibly be in those positions in 588 BCE. So 586 BCE was Nebuchadnezzar's 37th year of reign and all the other events in question can be mapped from this.
The Watchtower has jumped the shark. It has no credibility.