The Apec card isn't like a FF card with guest privileges; your friend must have their own APEC card in order to use the Apec lanes. Now some airports often allow people to use facilities that they aren't entitled to, and jump the queue, but LAX does not. TBIT is famous for selecting queue jumpers for secondary inspection, so it may add a few hours rather than saving time. Also, there isn't any waiting area at TBIT prior to exiting customs, and loitering does attract profiling.
You might want to rethink this plan and do something more reasonable.