Imbalance is present in most RVs, including TMs, and usually for the reasons you describe. Aside from the beer and ice solution, there isn't much you can do about it, aside from traveling with empty tanks. Can you lug water in big blue tanks in your tow vehicle, and fill the TM tanks when you arrive? Walmart has some nice 7-gallon units (a size you can lift by hand). I'm sure there are others.
Your observation should emphasize the importance of weighing the sides of your ready-to-camp TM individually, and comparing the weights to the capability of the tires. It also suggests that you should rotate the tires every year, to even up the wear
Bill
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