If you shoot a lot of Bullseye, with long red dot tube sights like the Ultradot MatchDot or Burris SpeedDot 135 you tend to gravitate to a single eye even if both are open.
Many people mistakenly mount tube type red dots too close to the eye because they are used to scopes. This prevents the proper use of both eyes. With a reflex sight, even if you mount it too close, the thin rim generally fools your eye into thinking it is more like a window than a scope. So people tend to use both eyes open even when they try not to. It is a good training aid. There are plenty of top shooters that have no problem using tube red dots with both eyes open. My friend BJ Norris is a good example. He uses Aimpoint Micros for everything, pistols, rifles, you name it. He likes the way they work for him so he mounts them on every firearm he is allowed to by the rules. He might be faster on the rifle with a C-More but there are muscle memory advantages to looking thru the same model of sight regardless of the competition.
I also sometimes use a 40mm tube version of the TruGlo Dual Red/Green red dot. I used it for over a year in Ruger Rimfire and Steel Challenge rifle stages. It works fine for me. However the stock 3 MOA dot is a little smaller than I like. Except at small targets where it comes into its own. But I generally find I shoot faster with the low peripheral clutter of reflex sights. I am measurably faster with that kind of sight in fact. Just like I am measurably faster with a Geissele S3G vs the RRA NM trigger. And considering I am 65 YO I need every speed enhancement I can get competing against much younger shooters.
Oh by the way on Jerry's exhibition 15-22, the reason why the trigger is gold is because his favorite AR trigger is the AT AR15 Gold trigger, the same one he uses in his 3-gun S&W AR-15.