Reviving an old thread.
It sounds like there is a lot of variation in the response time between loads that operate in constant resistance mode using a software control loop vs. those like the Instek that close the loop in hardware.
As far as I can tell, Instek doesn't advertise this feature.
I'm shopping for an electronic load, and none of the loads I've looked at spec a response time or bandwidth for the constant resistance function. This seems like an important performance parameter and one that varies considerably between electronic loads, so why isn't this specified?