It has been I believe well proven & documented that the biggest danger to thin barrels in the forward half of the barrels is not them bursting, but being dented.
When still in proof handle them carefully, don't overload beyond what they were designed to shoot, but no need to go to "Super Low Pressure" loads either. Those loads lower the "Chamber" pressure, not the pressure down the barrel where you are concerned about with thin forward section barrels. Don't use very slow powders ether, use the faster powders they were built to use in light loads & you will have no problems.