Shooting with a dot has been a game-changer for me. One-handed I present at arm's length and can have a hard time finding the dot (and that's the 50-MOA shaking). Two-handed I bring the gun up close and the dot is always somewhere in the sight window, super-steady, and I put the dot on the target subconsciously.Trigger control is half the battle. The other is sight alignment (with irons). . . .
I can be pretty accurate with irons, but I need to concentrate on my sight picture. I've read others' experience going from irons to dots and only being as accurate or maybe less with the dot at first.
I think that's about my experience too, but only when I'm relaxed at the range and can concentrate on sight picture. Anything that messes up concentration and irons suffer really badly.
So, for me, difficult shooting conditions are where dots really improve the result. Dots also allow accurate sighting with the gun up close, which allows rapid presentation and a bullet on target under circumstances where using irons would be dicey - I'd either have a really poor sight picture or run out of space.
The only downside is there's not really and "half way" aiming like with irons. You can sorta-kinda line up rear and front irons super-fast, albeit with a large accuracy penalty. But the dot is either there or it isn't.