Mostly anecdotal, but probably not wrong.
357 Mag 125 JHP had a good street record, people (LE) were generally happy with its performance. (capacity was the deficiency)
357 Sig was developed to try to replicate 357 Mag ballistics in a semi auto pistol, which it comes pretty close to doing.
https://www.luckygunner.com/labs/revolver-ballistics-test/
4'' barrel Remington 125 SJHP 357 Mag - 1,473 fps -
602# KE (This is one of the traditional loads that contributed to the 357 Mag reputation for
"stopping power")
https://www.luckygunner.com/labs/357-sig-gel-test/
357 Sig 125 Winchester PDX Defender - 1,423 fps -
562# KE
Some dismiss KE as not being a factor, to which I say does 357 Mag have better ASAP potential than 38 Special? Most people will agree that 357 Mag likely has better ASAP potential than 38 Special (assuming equal shot placement) and the reason for that is 357 Mag has double the KE of 38 Special. This bullet penetrates & expands in gel near identical to the 357 Mag above.
4'' barrel Remington 158 LSWCHP +P - 921 fps -
298# KE
357 Sig has fallen from favor in LE, as did 40 S&W. Why?
I search and see anecdotal comments that LE agencies that used 357 Sig were happy with the performance, particularly the 125 Gold Dot.
I do not see where LE discontinued using 357 Sig because it did not do well on the street, that I do not see.
As with 40 S&W, 357 Sig cost more and is harder for "small stature" and non-enthusiast (people who ain't into shooting) to qualify with versus 9mm.
Three handguns and bullet options I have at my disposal, actual chrono average (all are good choices):
Glock 19 - Federal HST 147 gr +P @ 1,044 fps / 356# KE
Glock 23 - Federal HST 180 gr. @ 1,003 fps / 402# KE
Glock 32 - Federal HST 125 gr. @ 1,358 fps / 512# KE
If I take the example proposed by
@sgt127 which of those bullet
s do I think might incapacitate the quickest?
Given equal shot placement, I think the 40 (greater diameter) or 357 Sig (increased KE) has better ASAP potential; I can't put a number on it, but it can't be discounted either.
(If one wants to dismiss KE look back to the 357 Mag versus 38 special example, they perform near the same in gel)
Point being: 357 Sig HP had a good street reputation from what I see on the internet.