Sorry, but I'm calling BS on that one. The ANC is controlled solely by the amp. The amp is the same among all trims depending on what sound system you have. There are three variations, four if you count those that don't have ANC. You have the base 6 speaker system (with or without ANC), the Alpine system, and the HK system. The amp for a Laramie with a HK system is the same as a Limited with the HK system. A Big Horn with the Alpine system has the same amp as a Laramie with the Alpine system.
Now, they could add more sound deadening material based on trim level, but I can't verify that one. There are just so many variables and poor quality control. Some members here have had Limited or Longhorns with severe road noise, while some members have Big Horns that are dead quiet. That excuse really sounds like a cop-out from RAM because they can't figure out what it is to fix it.
If there is any evidence suggesting otherwise I am open to hear it, but this seems highly unlikely.