Let the car do what it is programmed to do.
As smart as the car is you would think it would recognize that the engine was run only briefly on the previous drive and automatically run it for a few minutes on the next drive. Because there can be legitimate situations that you can get into, for example ICE just happens to come on just as you reach your destination. So another way to look at it is that the software was wrong for not starting ICE when they restarted the car at the bottom of the hill. Or maybe it had determined that ICE had already run just about long enough during the previous drive and that's why it didn't start.
Regen is like a really really fast charge for a short period of time.
That's a good point, we tend to focus on overcharging the battery (or charging beyond whatever upper limit is internally set to prolong battery life). But I would think that regen charging can be pretty hot and that is probably another reason why they want to avoid regen when the battery is nearly full, especially in extreme temperatures, and would explain ICE coming on when the battery is nearly full but not quite at 100%.
My theory is that the heavier Clarity PHEV needs to dispense with more energy on a long decline than those other hybrids and the only way to do that is to have the starter motor/generator trying to slow down the running ICE.
That is an interesting theory. It would indicate they are really struggling to get rid of the excess energy in situations where regen is not available, which I suppose is quite possible considering the weight of the car. It would be an added complexity and a small waste of gas, but then again not needed very often, and thus maybe a better overall solution than installing heavier brakes. I guess we could call your theory the "retro-fire" theory, or maybe the "reverse-thrust" theory
The regen on this car sucks compared to my Fit EV. But now that I'm thinking of it, the 'best' 4 bar regen on this car is probably about equal to the 'worst' regen on the Fit when battery was full or when it was too cold.
I have heard this comment before about "better" regen on one car compared to another, but I don't know what exactly is meant by "better" regen. Assuming it is about the quantity of regen available, that's determined by the crossover threshold between regen and friction braking, something that is not easily determined. So I'm not sure how you can compare regen capability between cars unless you have access to that data.
What I think is throwing some people (not you) is they are looking at default coasting regen, which can be stronger on some cars than others, and they make the wrong assumption that more default coasting regen is better than less, when actually the opposite is true because the closer you can get to "neutral" while coasting the better, whereas regen, although certainly better than friction braking, still has quite a bit of losses. In your case you are looking at paddle regen, which is not as strong as on your Fit. Others complain if they can't do one pedal driving like you can on some cars. I'm not disagreeing with those complaints, but that's just a matter of convenience, not efficiency, since you can get all the regen you want by using the brake pedal, again limited only by whatever the threshold is for the friction brakes to engage.