I don't think the problem is stability but rather heat buildup causing disintegration. The flexing of the tire as it rolls causes heat. If the heat builds faster than it can dissipate the tire will eventually fail. To reduce the total heat buildup there are choices; reduce the speed (fewer revs/cycles per minute but still a minute to dissipate the heat), reduce the load (less flex per rev/cycle), increase inflation pressure (within limits) to reduce flex, reduce the distance (so heat never reaches the dangerous level) between cooloffs. The tradeoffs between load, speed and distance are well understood in the heavy construction equipment field but apply equally to the highway transport field. Tire makers publish load/inflation tables to describe the allowable load for highway tires at various pressures (they assume we won't actually change speed for any length of time on the highwayso they don't publish for that variable).
The need to get rid of heat also is at least part of the reason tires are lower rated in dual applications than single. With less airflow around the tire it doesn't cool as well.
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