I was just watching a Paul Harrell Presentation where a 9mm fired out of a Carbine penetrated 3A Body Armor. Given the .357 Sig is going at least as fast out of handgun I wouldn't say it wouldn't.
NIJ certified armor will specify the bullet and velocity it was tested with.
Some IIIA category armor:
New AR500-brand Hybrid (USA-sourced) soft armor: 357 Sig, 125gr FMJ 1470 fps +/- 30 fps
New Safariland Summit BA-3A00S-SM02F: 357 Sig, 125gr FMJ 1863 fps
The NIJ 0101.06 standard is not a specific level of protection per se, but a method for testing and reporting that should specify whether the armor was new or "conditioned" (simulated wear), the cartridge, bullet weight, bullet type, velocity and the resulting backface deformation.
Because of this, we can expect to see a significant difference in the performance of different IIIA category ballistic panels. But the manufacturer/seller should report the performance to which an independent lab tested it per the NIJ standard.
A lot of Youtube body armor testers are not nearly as rigorous in their testing. I typically see them come up with some donated armor, something that a friend found in the back of their closet, something a retailer sent as a promotional sample, or something they bought cheap on eBay or an online store. They might say it's "IIIA" but again, there's a big difference between different armors in that category.
Tying this back to being relevant to Tokarev ammo, Pro Tech Impac HT soft plates are specified to stop the following special threats:
-- Speer .357 Sig, 125 gr. FMJ FN 3 1470 ± 30 fps
-- Speer .44 Mag, 240 gr. SJHP 1 1430 ± 30 fps
-- Win. 9mm +P+, 127 gr. SXT 3 1250 ± 30 fps
-- Speer .357 Sig, 125 gr. GDHP 3 1375 ± 30 fps
-- Norinco 7.62 X 25 Tokarev, 85 gr. FMJ 3 1530 ± 30 fps
-- FN 5.7 X 28 mm, 28 gr. SS195LF, (Belgium) 3 2086 ± 30 fps (avg.)
-- FN 5.7 X 28 mm, 40 gr SS197 (Blue Tip) 3 1721 ± 30 fps (avg.)
Notice the bullet type is specified as well as the velocity. While the bullet types tested are probably popular for those cartridges, they're not necessarily the ones best suited to penetration. So for this plate, it stopped a flat-nosed 125 grain FMJ Sig at 1470, but a round-nosed FMJ was not tested at any velocity. It stopped an 85 grain FMJ Tokarev at 1530 fps, but one at 1630 fps either penetrated, exceeded allowable backface deformation or was not even tested.
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