Again: The short throw safety isn't to get it off quicker, it's to get it back on quicker.
It is an adaptation coming from the newer TTPs where when one's eyes engage the sighting system, the safety comes off, and when the eyes disengage the sights, the safety comes back on. It's pretty specific for two way ranges, and training for two way ranges. Tying the movement of the safety back and forth to weather the eyes have engaged the sighting system ends up with the weapon on fire for less time, and (when trained effectively) makes sure that no one is moving with a weapon on fire. Which is nice if a lot of folks are moving at once.
What the short throw gives you is the ability to knock it back up into safe with the first knuckle of your trigger finger or your thumb as you come off the sights and lower the weapon. A full 90* safety can lead to having to break the firing hand drip to reliably get the weapon back on safe.
If you aren't doing a lot of dynamic stuff, and or worried about two way ranges with movement, it probably won't do very much for you. The whole thing comes from the door kicker community* that found it was better to be hitting the safety back on between engagements while moving around each other, and looked to optimize that movement.
*Military Door Kickers. LEO Door kickers don't seem to really care about NDs.