I do find it interesting though, that it is pretty easy to find accounts of even ipsc shooters firing ten or so rounds and hitting nothing, then reminding themselves to slow down and getting a hit.
It is also pretty easy to find accounts of people getting killed while trying to reload after shooting their gun dry.
I don't think anyone is advocating spray and pray tactics, nor that speed is everything.
Speed is nothing without accuracy. Failing to hit your target makes speed completely irrelevant.
I do see your point though. You asked
Having said all of this, does anyone know of a documented gunfight that was lost because someone wasn't shooting fast enough split times? What say you?
and got one actual answer and a lot ot discussion. However, your title and initial thoughts implied fairly clearly your feelings on the matter, that you do in fact think we worry too much about speed. Phrases like "too obsessed" can only be answered with opinions, as it is applying a value system to a theory that, thankfully, most people will never have a chance to test, and has an inherant opinion basis on your part.
I don't think anyone in their right mind could argue with
"If you choose to employ a firearm for self defense, and are forced to shoot an attacker because retreat will not be an effective means of self preservation, the quickest and most effective way to stop the attacker is to shoot he/she/it as quickly as possible and in a part of his/her/its body that is likely to cause an incapacitating injury."
However, hitting an attacker quickly, in ANY part of it's body quickly will be the fastest way to deter that attacker. Right? So....... obsessed? No, it is an integral part of defense. It's kind of like asking, "Are we too obsessed with steering our cars?" Of course not. We wouldn't arrive at our destination if we didn't.
So you really asked two questions. You asked for exampoles, but also a value based question in your title. I think you got exactly what you asked for.
Are there many examples of someone ineffectively protecting themselves because they did not shoot fast enough? Apparently not. Are we too obsessed with speed? No, because a lack of examples does not invalidate the theory that quick hits will stop a threat more efficiently than slow hits.