Pesonally, I probably value STR higher than most. You should also note that it is one of the core attributes of a QB as stated in the knowledge base so I think it is a bit folly to push it down too much.
STR is directly related to two things in particular that are appealing to my game style:
1. Accuracy.
2. Whether a QB decides to force a pass or throw it away.
7b. Receiver is covered -- the QB will either force the throw or move on to another target which basically goes back to 3. *** The decision to force the throw is based on the aggressiveness of the play call, the QB's GI, and his STR.
9. Determine the outcome of the throw. Is it a good throw?
*** This is based on the distance of the throw, the throwing window the QB has (relative "open-ness" of the receiver), and the QB's accuracy (TECH, STR).