Shutter lag and shutter speed are 2 completely different things that have completely different effects on the photograph. Most phone reviewers have zero history in photography, minimal understanding of how a camera works, and confuse the terminology.
Shutter lag is the delay from when the shutter button is pressed until the shutter opens and the photo is taken. It has nothing to do with the exposure triangle and can not cause motion blur.
Shutter speed is how quickly the shutter moves or the duration of which the sensor is gathering light. Any movement while the camera is gathering light becomes blurry.
Easy real world explanation of them, imagine your kid is jumping on a trampoline and you want to take a picture of them when they are at their highest point. You want a nice sharp photo of them in their air so you tap that shutter button just as they reach maximum height. Shutter lag will still give you a sharp in focus image free of blur, but you notice your child has fallen back down to the trampoline, they aren't in the air anymore because there was a lag between the time you pressed the shutter and the camera took the image. However if the shutter is not fast enough, your kid was falling while the image was exposed so they appear as a blurry streak in the image.
2 separate things, 2 different out comes. I had to learn this the hard way doing event photography in doors and learning how to take photos that aren't blurry.
As to why Apple or Google take a better image on auto, I can explain that as well. Modern cell phones take multiple images and combine them when you press that shutter button. They take what used to be hours of post processing work and automate it at the touch of a button with AI and algorithms. Samsung hasn't been able to keep up, their software isn't blending these images together in the same way as some of their competitors. Which is unfortunate because the normal cell phone user is not a photographer, they don't understand how a camera works in any detail and rely on auto mode.
My Note 20 U can go all the way down to 1/12000th of a second for shutter speed, it has no problem freezing motion. Pro mode can easily take blur free photos of children as long as there is adequate amounts of light.
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