From what the OP said, it sounds like there are 2 systems working against eachother: the WDH and the air suspension.
The WDH may be set up perfect for when the air system isn't on; however, when you turn the TV on and the air system engages, it throws off all WDH adjustments.
With the TV off, the trailer could be sitting perfectly level and the trunnion bars set perfect to restore the stock weight to the front axle. This will always put some load on the rear axle.
Once the TV is turned on, it senses a lower rear end and engages the air to lift the rear of the vehicle. In theory, this is great...except it throws off the hitch height and likely takes load off the front axle and puts more weight on the back axle.
This can be shown in the following video:
The Difference Between Using Weight Distribution and Air Bags to Level Your LoadI would suggest setting up the WDH with the TV running so that the air suspension is enabled as it would be rolling down the road.
Your last step is to take it to the scales. Doing so, you're specifically looking at the front axle weight without the trailer hooked up to the TV and then the front axle weight when the trailer is hooked up with the WDH engaged. The weights should be close to equal with the trailer level or slightly nose down and with a tongue weight of 10-15% of the overall trailer weight.