Hard to say. It's rather difficult since I don't have anything to test it against.
It's actually rather easy if you have a spare router / access point to install OpenWRT on. Use the current stable version (19.07.5 as of now - don't use 18.06.x or older!), enable WPA2-only, Cipher "auto" or "force CCMP" and 802.11w "optional". This will automatically allow (but not enforce) PSK/SHA-256. Although this is a 802.11ac feature, it should work with non-AC routers/APs, too. The S4Mini fails to connect in this mode. Now disable 802.11w (this turns off PSK-SHA256 at the same time), and the S4Mini will connect.
When checking with "iw wlan0 scan" on the S4Mini, look for your SSID in the output and pay attention to the "RSN" section.
That's not exacty my setup, but it'll give you the desired result. I had to jump through quite a few more hoops to be able to pin the issue down to PSK/SHA-256.