Real plain and simple - a suspension with struts does not have an upper control arm, period. The LS was upper control arms in both the front and rear suspension. That means no matter what they may look like, the LS has shocks both in the front and rear.
Then you ask why are they somethings referred to as struts by some; people, sites, stores, parts corners, etc...? Because the vast majority of cars built in the last 30+ years (also mostly FWD) had struts in their front and also in the rear suspension.