It doesn't affect the cutout at all from the brakes or gear sensors, but when the motor hits my set limit it spins down GRADUALLY so there is no drag from instant cutout. Then when the motor re-engages there isn't a sudden jerk. Everything is buttery smooth.
Intellectually, this makes sense - applying more current when some current still being applied should feel smoother than starting up from no current applied, especially if the controller is looking at wheel rpm to determine if "Slow Start Mode" should be applied. Going back to the "sacred" diagram, here's what a stop-start pedaling event might look like with a small Stop Decay and assuming that since the bike is still coasting that wheel rpm is high enough that Slow Start Mode isn't being applied:
When pedaling stops, current stays high during Time To Stop (aka Penov's Stop Delay), and then current starts some kind of non-linear ramp to zero, and then pedaling starts again, but since the wheel rpm isn't "slow" power ramps up pretty quickly (might depend on how quickly your pedaling cadence ramps up) and it feels abrupt.
Now, with the
same pedaling stop-start timing, here's what it might look like with a large Stop Decay:
Sorry for my bad Photoshop skills. The idea is that the longer Stop Decay time means that current doesn't get all the way to zero before the next pedaling action calls for more current. And that should feel smoother.
Now, I don't think any of us know the curve shapes involved in decay or acceleration or re-acceleration, and we don't know the "slow" cut-off that is used by Slow Start Mode, nor how the transition from current decay to current apply happens, but the longer Stop Decay might result in a smoother feel. And if Slow Start Mode would apply in the re-start of pedaling then the ramp up would be even smoother.
The curious part is why some feel a larger Stop Decay doesn't result in noticeably more motor run-on after pedaling stops for long periods of time. One thought is that Stop Decay is, as
@circuitsmith drew, some kind of non-linear curve, perhaps exponential, in that most of the current drop off occurs soon after pedaling stops, and that the rate of drop-off itself slows down as the Stop Decay period comes to a close. With a, say, 1.5 second Stop Decay, you might see the current drop 50% within the first half second and the last 50% during the last full second. So in terms of perception, it feels like the motor hasn't run-on since it's dropped so much so quickly, but there's still enough current that when you start-up again it's smoother to ramp up from some percentage of current than from completely none.
At any rate, the behaviors experienced in this thread do not necessarily conflict with the widely accepted definition of Stop Decay. That includes that Stop Decay might affect acceleration, since that acceleration might be occurring within the Stop Decay time period.
It would be interesting to perform some timing tests to see if re-start of pedaling delayed to well after Time Of Stop + Stop Decay has passed is still smoother with large Stop Decays. Separately, has anyone determined when Slow Start Mode is and isn't applied? What is the controller's definition of a "slow start"?