One technique that has helped me a lot in transitioning to a red dot is to draw the pistol, bring the dot up to eye level with arms still bent and fairly close on the draw, and then "drive" or push out straight toward the target while aligning the dot. So essentially when I reach my normal arm extension for shooting and am ready to pull the trigger, the dot is already on target and I'm starting to press the trigger. Rather than raising the gun with arms already mostly extended in front of me and then having to "fish around" for the dot, as a lot of people seem to struggle with.
This was first taught to me for shooting DA/SA pistols with iron sights, to decrease time on that first DA pull. Same technique works well for both irons and red dots in my experience, and is no slower, with practice.
I suppose it's similar to what the article says about, "you must bring your RDS to your eyes, not your eyes to your RDS." I stay target-focused the entire time, and the dot just moves into my field of view, and is fine-tuned if necessary as I'm driving the pistol to the target.