With a stock IC, you're going to heat soak it, there's no doubt. As far as the O2s vs BLMs and knock, let me add a couple of things. There are patches and fixes for some of what I'm going to mention but this is generally true for a stockish setup.
There are 16 BLM cells, arranged in a 4x4 table divided up by MAF flow #s and RPM. The ECM only adds and subtracts from them while the motor is in closed loop (i.e., less than WOT). At WOT, the ECM is using the "top" BLM cell but the WOT fueling can still be rich or lean because you're not in closed loop anymore...the ECM is guessing at fueling based on the chip parameters.
You know your chip/combo is tuned well when you can achieve both good O2 #s at WOT and good BLMs throughout most of your RPM/MAF range. Most of us are not patient enough to burn enough chips to do this, definitely including me!
Keep in mind too that the stock O2 #s aren't consistent enough to be comparable from car to car...my car used to run well with .680 O2s when your car might be blowing head gaskets, or vice versa.
I'll call you and we'll yak about it some more when my boss isn't standing over my shoulder...
