I think factory wadcutters are totally insufficient for self defense.
Let me explain.
Many years ago, I bought a year old lamb from a farmer, live on the hoof. My wife wanted the skull intact. As a hunter, I have no problem gutting, skinning and butchering a lamb.
I decided to kill the lamb with a handgun, loaded it with factory wadcutters, then shot the lamb in the neck at point blank range to dispatch it.
It took 5 rounds in the neck, shot from a foot away, before that poor lamb died.
I so sorely regret not using hollow point .357 mag. ammo, for a one shot instant kill spine shot.
I conclude that a .38 special wadcutter is insufficient for self defense purposes, as it is incapable of causing instant incapacitation of a lamb, and thus would not incapacitate a human threat rapidly.
Hot hand loaded wadcutters are not part of my discussion, as I do not reload.