Recently had a similar experience with my TD tires except it was on a much shorter trip.
I built my TD in 2006, on an HF 1800# trailer (think that trailer is now called a 1720# or maybe 1740# trailer??). I towed the TD for over 15K miles with the original tires & had no problem. Travel varied from freeway to back country trails but mostly on open highway at 55-65mph. Always ran about 40-45lb pressure & TD weighed 1200 to 1350lbs loaded. These were Duro (Chinese?) brand tires rated for 1045lbs @ 80psi max).
In 2010 we drove thru some flooded areas in SE New Mexico after torrential rains. Apparently some water entered the hubs & after we returned home I discovered it & replaced seals & the slightly discolored bearings. About that time or in 2011 I also replaced the original tires while preparing for a trip to/from California (bought the Hi-Run 530-12 tire/wheel combo from local WalMart). We did the California trip in just over ten days (too much driving for an old man

). Tires showed negligible wear after that trip & absolutely NO odd or unexplained wear (tire pressure approx 35-36lbs). Between 2012 & this year I'd put probably another 1K miles or so on the TD in shorter, 3-400 mile trips. In preparing for our trip last month driving the Natchez Trace Parkway in MS, AL, & TN, I inspected the tires & noticed that they'd been wearing the 2 tread ribs adjacent to the center rib. I concluded they were probably under inflated so using same logic as angib touts in his post above, I calculated that with my trailer rolling weight (approx 1050/1100 lbs) & tire max capacity (1045lbs @ 80psi) = 525/550lbs each tire, I should be running about 42-43lbs so I increased tire pressure to 43psi.
At the end of our first day on the Pkwy I noticed that the driver side tire on the TD appeared to be 'scrubbing or scalloping' the 2 inner tread ribs while the curb side tire appeared to be wearing the 2 outer ribs the same way?? We spent the rest of that week driving the parkway (max speed 50mph) with a short distance driven on I-40 in TN (maybe 60mi) before returning to the parkway driving south. By the time we left the parkway near Tupelo, MS heading home, the curb side tire had begun to wear quite badly, mostly on the outer ribs but continuing past the center rib much as mikereuve shows in his pic. By the time we returned home, 1300 plus miles, the curb side tire was worn nearly 'bald' from outer rib, past the center rib, & the driver side tire had considerable 'scalloping' on the inner 2 ribs.
I was at a loss for a solution except I thought the axle might possibly have slipped a little in the spring shackles toward the rear on the driver side. When the TD was a couple of years old (2008 or 2009) & before replacing theoriginal tires I'd added a steel 1" spacer between the axle spring perch & the springs, to give me some additional clearance between my tires & the wheel wells. I'd drilled a hole in the top of the spacer for the spring bolt but made no provision for a 'dog' on bottom of spacer to fit the hole in the spring perch. That change had caused NO problem of tire wear with the original tires & throughout the California trip (more'n 4K miles). I pulled the wheels & hub dust cover in preparation for measuring from the 'countersink' in the spindles to center of coupler. I carefully inspected the axle & springs, the 'spacer' was still in place & square with both the springs & the spring perch.
When I measured from the spindles to center of coupler, there was nearly 1/4" difference but the driver side was the shorter, not longer as I'd expected?? I loosened the spring/axle 'U' bolts & again 'squared' the spindles to the coupler, as I'd done in initial construction, after installing the spacers, & after the rear end collision in 2010. After each of those operations I had less than 1/16" difference in measurement from axle spindle to coupler center. Every measurement I've taken indicates the axle is still square to the trailer chassis & the axle is again square to the coupler.
I'm reluctant to believe that an increase of tire pressure from 35/36lb to 43lb could grossly overinflate the tire(s) enough to cause such wear but I'm left with not much more than that to conclude. I'm sure that 1/4" difference in length from spindle to coupler (in a distance of only 120" approx) could cause considerable wear but the difference was on the wrong side IME.
Anyway, I ordered a pair of new Carlisle Sport Trail tires in load range 'C' (same rating as my other tires), had 'em mounted & balanced, & they're in place on the newly re-squared axle. We have an approx 3500 mile round trip planned for next month to the Walk the Winds gathering in WY. I've dropped tire pressure on the new tires back to 38/39psi & will carefully monitor tire wear & make appropriate adjustments throughout the trip.
Unfortunately I didn't take any pix of the WalMart tires before replacing them with the Carlisle tires. I do have a new set of the WalMart tires on a small Starcraft Meteorite pop-up trailer but haven't towed it any distance since they were mounted so don't know how they'll do. I've had pretty good performance with the Hi-Run tires in the past so hopefully this was an aberration or a simple matter of over inflation...