From what I know, he is very knowledgeable about the sport (soccer as most interviews put it), hence why he is more involved.
Also, he runs the club and keeps a lead role. He is in constant communication with the committee, not the head of it as such. He is more of an overviewed position with some input, as opposed to Henry and Werner who understand the key moves but aren't as heavily knowledged or understanding of every move.
The scouting team and Ayre work in the committtee. Rodgers contributes names and ideas but has no involvement on the money side other than discussions at the table on how important they should be as targets.
Just because he is American, doesn't mean he's anything you've suggested there. It's just stereotyping.