Don't think i have any or else i would have posted it.
I will still stand behind my post of not-deflating. Our trailer is 1400 lbs dry and it's not heavy enough to matter. Of course, huge trailers like the ones pictured above get aired down. Not arguing that point, heck those trailers weigh as much as our tow vehicles

For our trailer weight it doesn't make a big difference airing it down other than it's ride characteristics and absorbing vibration. It's being pulled, not motored. It doesn't care if it's deflated or aired up, i use less resistance by not deflating.
There's many schools of thought and to each their own. Do what works for you and what makes you comfortable in the situation you're in. Like i said also, i do air down the trailer on every trip. Not for traction but to lessen the vibration and abuse on the suspension. Or if we're headed through rocky conditions where we need the footprint. Same as you would for the tow rig.