Hornady lists shell holder #6 as the correct holder for .357 magnum. The #6 holder is on a separate page, you can find that here: https://www.opticsplanet.com/hornady-shell-plate-number-6-392606.html
Per Hornady, item 392601 will fit the following calibers:
5.6x57mm
22-250 Rem
22-250 Rem Ackley Imp 40°
240 Wby Mag
243 Win
6mm International
6mm-284
3mm Rem BR
250 Savage
25-06 Rem
257 Roberts
25-284 Win
260 Rem
6.5 Rem Mag
6.5mm-06 A-Square
6.5x57mm Mauser
6.5mm-284 Norma
6.5 Creedmoor
270 Win
7x57mm Mauser
7mm-08 Rem
7mm Rem BR
7x64mm Brenneke
280 Rem Ackly Imp 40°
284 Win
300 Savage
308 Win
30-06 Spfld
30 TC
338 Federal
7.7mm Japanese
7.92x33mm Kurz Mauser
8x57mm Mauser
8mm-06 Spfld
338-06 Spfld
35 Whelen
358 Win
9.3x57mm Mauser
9.3x62mm Mauser
400 Cor-Bon
44 Auto Mag
458 Socom
450 Bushmaster
You'd use the #16 shell plate for both 223 Rem and 5.56 NATO.
For 9mm, you will need the n0.8 shell plate by Hornady. MPN: 392608
https://www.opticsplanet.com/hornady-shell-plate-number-8-392608.html
For 7mm Rem Mag, you will need the Hornady Shell Plate NO.5. MPN: 392605
https://www.opticsplanet.com/hornady-shell-plate-number-5-392605.html
For 9mm, you will need the n0.8 shell plate by Hornady. MPN: 392608
https://www.opticsplanet.com/hornady-shell-plate-number-8-392608.html
The correct Hornady Shell Plate would be NO.16 found on this page.
MPN: 392616
These plates are not for the .223 caliber.
Please contact Hornady directly
No, this will not work for that caliber.