Yes I would encourage someone willing to handload to rechamber their 357 mag to 357 max instead of 350 legend because rechambering to 350 legend would require removing the barrel and setting back the shoulder to remove the groove for the rim and also rework the extractor to work on the rebated rim of the 350 legend case as compared to reaming the chamber to 357 max which is a 30 minute job.
Additionally, much to my surprise and dismay, 350 legend uses .355” diameter bullets for some reason. I have always had perfectly acceptable results shooting undersized bullets but I couldn’t say for certain that the .355” diameter factory loaded ammo would even shoot well in a .357” bore, so it could all be for naught.