It's just something I've noticed over the years. Personal charisma as it relates to sales/persuasion/compliance correlates with peripheral vision.
I went through a period in 2012 where I did more negotiating (car buying and lots of contract negotiations) than I've ever done before and noticed that the more personally charismatic they were the greater the ability to focus on me while being visually aware of what was going on around them.
I don't know of any greater meaning behind it but I've noticed a correlation then and since.