(imho) most decisions of to fire or not to fire are made with five feet or less, or the decision is made when the aggressor fires first. This has been my understanding. To answer your question, I have not an answer. There possibly has been a study yet one which I have not read. Accuracy at five feet or less and/or twenty-five feet or less is due to practice with or without a laser. Practice is important as well as safety. Proper training does not instill safety and only the person holding the firearm can practice the required safety. The laser is a tool, same as the firearm is a tool. Without proper training and practice, both the firearm and a lasered firearm are useless (imho).
I’m thinking about my 12 year old daughter. I think I’ll be lucky if I get her to fire off 20 or 30 rounds at the range before she gives up. Given that this is the amount of training she will endure, a laser would give her more confidence in a high-stress situation than a pin sight. It doesn’t take much training to realize that the red dot you’re looking at is where the bullet will go, whereas it’s hard to remember pin-sighting unless you’ve practiced and practiced. So with those considerations, a laser sight is superior today.