The .357mag is really a 50-75yrd MAXIMUM deer cartridge - not a step further. There are lots of bullets that will do the job, nothing special required. As much disdain as I have for the 357mag as a deer hunting cartridge, I've killed a bunch with it (hence how I developed my opinion on the matter), and there are plenty of bullets that will do the job at that range. I can't recall whether it was a 125grn Critical Defense or if it was a 140grn Leverevolution, but my wife killed a meat doe over 40yrds a few years ago with a 2.25" Ruger SP101 snub-nose. I killed a few with handloaded Gold Dot Bonded Hunting bullets (Now called "Deep Curl") in the early 2000's, did very well. Hit a few with 158grn semi-wadcutters and LRN's... Killed a bunch of deer with Winchester White Box 158grn semi-jacketed soft points too...
Most of the 357mag bullets out there are designed with deer hunting in mind, so it's not unexpected when so many bullets will do the job at the ranges that the .357mag is effective.