A lot of this "thing" has been kept alive by the "Skeeter" loads, which have been printed and reprinted since the '50s and 60s.
"Skeeter" Skelton, who was a prolific gun writer during that period, was a Border Patrolman, and a member of their pistol team.
Pay was not a lot then, and with a growing family, he could get all the .38 Spl. brass he needed...free. 357 brass was somewhat scarce, and expen$ive, too. So, he developed a lot of his loads in .38 spl. brass.
I tried his "medium" load, using 2400 powder, in 357 brass, but didn't like it very much!
It is very practical and safe to develop hot .38 loads in 357 brass. The current wisdom is to add a "smidge" of powder, ranging from .2-.5 gr. of powder to compensate for the additional space in the longer 357 case. That has worked for decades.
Patrick Sweeney, a Guns and Ammo magazine editor and competition shooter, said in his first reloading manual to go (safely) from .38 Special to 357 Magnum, just take a standard .38 (~17,000 psi,) or +P load (~ 19,000 psi)from a good reloading manual, and add 10%. That will mostly be lower than 357 Magnum starting loads, and provide no problems when shot in well maintained 357 Magnum guns. (Generally rated to max. ~35,000 psi.)
Whenever I shoot .38 rounds in my revolver, regular cleaning removes any traces of material left by the difference in case length.