Trying to learn more about the training side of barrel racing by watching runs. To get the most out of it, what are some things I can look for/take away from it? Hope that makes sense lol

There is no perfect way. 

Quote from Denna Kirkpatrick. 

Who does it the fastest wins.

It all comes down to how the horse rider combo work together. 

But you can get things to try from watching others. 

First thing you need to do is film yourself and see what you are really doing. 

Do you want to learn how to train other people or train your horse? When I was first learning about barrel racing, I watched every video and read every book about barrel racing I could possibly get my hands on.

Between the Reins is a great online program that has 4 of the most successful trainers in the nation doing how to videos . 
you can rent videos from many different trainers on Giddyupflix.com