When we go out to eat together, they always ask me what's the 'right way' to hold chopsticks and I tell them that you guys think about this way more than any chinese person I've ever met.
It's 2 sticks; put the food in your mouth. Did you do it? If so, then you're good. It's not deeper than that. Plenty of times in my family we would just stab stuff because that was the easiest thing to do and no one thinks twice.
addendum: growing up, I organically evolved the 'scissorhand' grip. At like ~18 years old, I consciously switched to standard because I was trying to pick up something small and realized my grip lacked precision.