Hello Dusty,
Changes in caravan attitude will produce different loadings on the axles, We have discussed at some length the issues of climbing kerbs and the effects on weighing TA caravans, and this falls into the same ballpark, but to a lesser degree. It is part of the EU construction and use regulations that sets out the permitted hitch height variations for saloon cars. This is 350 to 420mm, and caravan manufacturers will be very well aware of this and they are required to design their products to accept this range of variation.
Logically, for a caravan to be level, the hitch must be at some specific height., but as the caravan manufacturers must accommodate the vehicle hitch height variations, it follows that every caravan may be towed at any angle the hitch height variation creates. That may include nose down, level and nose up. To put this into perspective it will of course depend on the dimensions of the caravan, but , the +/-35mm at the hitch usually translates to less than +/-2 degrees of tilt.
Unless you have the luxury of adjustable suspension the odds of a caravan actually being 'level' when its hitched are pretty close to zero.for that reason there is no requirement for caravans to be towed 'level'
There is a tradition amongst many caravanners that says you should tow with a nose down attitude, but you know my views on traditions, and as far as I can see there is no technical advantage to nose down or level, and disadvantage in nose up, within the permitted range of itch heights.
Where that range maybe exceeded is with commercial vehicles and some 4x4's that are not subject to the hitch height regulation. If someone was using a dropper plate that might lower the hitch enough to start to produce a marked difference in caravan axle loading, but I suspect you would end up with grounding tow tow hitch quite frequently
My gut feeling about the OP's problem is its more likely to be faulty or damaged tyres, rather than towing attitude.