Do you believe the ICE runs longer at certain levels of the battery's SoC? I've had the ICE run short (as expected) and long (perplexingly) in both high and low states of battery SoC.
Generally, the ICE just runs to engine temperature.
But, it does appear ICE also tries to reach the 'target' SOC. The SOC may drop significantly during warmup, whether warmup is caused by switching to HV or by forced ICE operation. When the SOC drops below target, it seems the ICE 'wants' to get back to target before shutting down.
If the drive load is significant, there is not surplus power to restore charge to target. Most of my anomaly ICE runs have kept the ICE at 1500 rpm (warmup speed), so the surplus power is restricted.
If the SOC is over 85%, the ICE takes longer to restore target, because the battery does not seem to accept charge as well.
Target charge is related to the SOC when the ICE begins operation, or switching to HV mode
Most of my driving has been in sub-freezing temperatures. I am just getting some experience with warmer weather. One of the things I am noticing is that it takes longer to get the SOC below the 57% threshold - EV range is significantly higher.
The weather in upstate NY has wide temperature variations, and this seems to be affecting ICE random starts.