No is the answer. Throat erosion is caused by the high gas velocity and temperature caused by the propellent.
Hot gas at around two and a half times the melting point of steel at 55,000 or so psi travelling at around 1km per second is quite erosive bit like a plasma cutter. Thankfully its only for around 2 thousandths of a second per shot. So theres no way the temperature can be heat sinked away by a heavier profile.
Heavier barrels are good because they have less harmonic movement so are more predictable shot to shot and take longer to heat up, and longer to cool down.
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