Riot can we have some input on Pathfinding and Latency?

I have noticed these two problems earlier. They have been around for a while but you eventually notice it happen.

I love running away from an opponent while at very low health, only for my champion to jerk around and start running in the wrong direction.

"My ___ didn't go off". You hear everyone say this and blame poor reaction time. But in reality, it actually didn't go off. You used the ability but the very small amount of time between you pressing the key and the ability actually going off is greatly meaningful.

This is very irritating and I notice it as an obstacle of playing better. Mainly because these things actually stop you from your full potential.

I cant say I enjoy getting blamed for missing smite when I clearly hear my clicks of me activating it, only for it to not actually be used.

Riot, I know you don't actually use the boards but could you maybe tell us about why these problems exist? You guys have SO MUCH MONEY, what stops you from solving these issues?