To add to what I was trying to say, lets consider similar sentences...not involving US Cellular, and see if you would not get the same type of impression:

Burger King- Get the best tasting hamburgers of any burger place

(It is assumed that Burger King is a burger place)

Pizza Hut- Get the most authentic pizzas of any pizzeria

(It is assumed that Pizza Hut is a pizzeria)

So Fresh and So Clean- Get the cheapest cleaning and altering service of any cleaners

(It is assumed that So Fresh and So Clean is a cleaners too)

Now back to US Cellular- "Get the highest call quality and network satisfaction of any national carrier"

Get the point