"Equalizers web site confirms this."
This concept wasn't on their website 7 years ago when I bought my hitch and I totally disagree with it. Back then it was load up your truck as you would for camping and set up your hitch. That is what I did 25,000 miles ago. There is no need to transfer bed weight behind the axle. A pickup is designed to function just fine with weight in the bed. 100 lbs of bed weight is negligible anyway IMO.
All that said I would go with the 1K if I had the choice.
How did you measure your tongue weight?