I can't feel the difference between a .38 Special +P and one loaded to 10,000 psi higher pressure. I can tell a difference between a light .38 Special and a full .357 magnum, but there's a vast spectrum of energy in-between. .38 Special has a very, very low pressure limit from its 1898 origins, and +P only extends it a little bit. But the specification for .357 magnum goes from there all the way to doubling it.
.38 Special - 17,000 psi
.38 Special +P - 20,000 psi
.357 Magnum (SAAMI) - 35,000 psi
.357 Magnum (CIP) - 43,511 psi
Whereas .38 Special +P rounds which are typically loaded to around 18,000 psi have proven to be lacking when evaluated against standards, there is more than 15,000 psi additional pressure available with .357 magnum. It doesn't all have to be used. Because .38 +P is "borderline" effective, just a little more velocity can make hollowpoint expansion reliable, and increase penetration.
Considering other contemporary handgun cartridges (9mm, .40 S&W) operate at greater than 35,000 psi, why would it seem prudent to avoid the 35,000 psi pressures of .357 magnum, but not those other cartridges?
9mm SAAMI is 35,000psi, but nobody talks about it being a blinding wrist-breaker in their little LC9's or Bodyguards. Admittedly, those guns have slides and springs to absorb some recoil, but I think the recoil and flash issues of .357 magnum are overblown except for some specific loadings.