Couple of thoughts.
My dad test drove a couple of Honda Jazz Hybrids lately, one was unpleasant to drive because of braking / CVT engagement while the others weren't.
So it may be a one-off.
(My dad did buy a Jazz Hybrid btw. - and likes it a lot)
There is a relearning procedure that should fix uneven braking, something like letting it decelerate on its own from 30 mph to walking pace without touching the pedals.
Haven't got any proof of that though.
Having the CVT oil changed seems to help, would not wait with that unless it has been done recently.
My brake response consistency improved on having extra brake pad return springs on the front disk brakes.
Overall, my car drives way nicer on a high SOC than on a low one. I'd love to boost it with a parallell pack
If you have battery trouble that will affect the driveavbility negatively.
If it works the same as on my Insight, then AutoStop will work when cold when you switch the ventilation off (with the OFF button) prior to coming to a stop, preferably when you are still moving at least 15 mph.
Once stopped you can switch the ventilaton on again, it will remain in AutoStop for a while.
It will tend to use AutoStop too when the ventilation is in Auto mode; the more you change the settings, the less it will use AutoStop.
I can recommend using thin oil (Honda Green Oil) for the winter period.
I use it since may last year; did not really notice any change during summer, but my winter economy is much better than last winter even thogh this winter was somewhat less mild.
Right now my 90 days (winter) average is even better than my all time average...!
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2011 Honda Insight + HID, LEDs, tiny PV panel, extra brake pad return springs, neutral wheel alignment, 44/42 PSI (air), PHEV light (inop), tightened wheel nut.
lifetime FE over 0.2 Gigameter or 0.13 Megamile.
For confirmation go to people just like you.
For education go to people unlike yourself.