I only watched the first to see what she said. I'll admit right off that I'm not a Parelli fan. I won't bash them but they aren't for me.
Yes, you need to understand and be able to communicate with your horse. I don't think you need to be a psychologist to work with horses. The left brain, right brain, introvert, extrovert thing is just confusing to me.
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and... Left brain are logical thinkers, they're the mathematics of horses, constantly thinking and always need something to do. They react by thinking. When in scary situations, in the term of 'fight or flight' they'll use more fight.
Right brain are more kind of emotional, they react with fear, they will use flight more often when put in situations.
And the easiest way to remember the differences between introverts and extroverts is..
Introverts don't technically use their feet as much, in left brains they are 'lazy'. In right brains, again they don't really use their feet as much, but when afraid they tend to 'shut down', then literally explode when things become too much for them to handle.
Extroverts use their feet a lot. I'm not 100% sure how it affects left brains as ive never met a left brain extrovert, but in right brains when they're afraid or don't want to do something, they can't keep still. When they're afraid they'll tend to more try and walk or run off