This makes me think that there is probably a different (than ones I tried) query or condition that is responsible for creating high-sys-cpu. Also, from my limited knowledge of postgresql and kernel internals, this experiment puts under question idea that linux scheduler might be the corner stone....
Here is a longer log, first column is PID. High-sys-cpu stall happened around 10:42:37
I'll try to put pgbouncer in place and repeat, also though this will take longer time to setup.
-- Vlad