Windows 10.0.19042 build 19042 (20H2) x64 enterprise, latest Brave build!
All commandline options except for the commandline to enforce TLS 1.2 " --ssl-version-min=tls1.2" works. It will work only if I right click the taskbar shortcut, click properties, and close the shortcut properties window, without even changing the commandline syntax. Very strange. Even when I do edit the shortcut and brave successfully loads the commandline, minutes after closing the browser, the problem returns, same upon reboot. Update: it appears it may not be necessary to edit the shortcut, it will stop working sporadically regardless.
You can test this for yourself here, https://clienttest.ssllabs.com/
To recreate, just add the commandline I use, and test your browser on the aforementioned link after reboot and sporadically.
"C:\Program Files (x86)\BraveSoftware\Brave-Browser\Application\brave.exe" --ssl-version-min=tls1.2 --cipher-suite-blacklist=0x009c,0x009d,0x002f,0x0035,0x000a,0xc00a,0xc009,0xc013,0xc014,0x33 --disable-webgl --safe-plugins --enable-sandbox
Note cipher suite blacklist always works, regardless if enforcing tls 1.2 does or does not work.