Though it may be possible to enable some Coredump features via setting registry values, patching for creating full Coredumps on retails is required. There are 2 key patches.
In the SceCoredump module, there are two functions that read values from the registry. The registry key used is "/CONFIG/COREDUMP". The first patch is to force the function that checks the key "enable_coredump" to return 1. The second is to force the function that checks the key "dump_level" to return 0xEF0. They are at base+0x3070 and base+0x3000 respectively on 1.50.