what do you mean the PR requires a power cycle to clear the error? You mean it needs to be restarted to clear the error?
Yes; restarting means cycling the power, turning the system off, waiting till all the system's capactors have drained for sure, (a few seconds), then back on.
Is there a way to keep the controller from having this error?
For my system, the only way to prevent it was to let off the pedals (which on mine generate the throttle signal via the Cycle Analyst) before hitting the bump, and not restarting pedalling until after all the wheels were back on the ground. Because I couldn't always do this with perfect timing, the final solution was to not use a geared hubmotor (which spins up much faster than a DD hub when unloaded, off ground). I've used the system for a long time now with daily interaction on that same bump with the same controller and setup but DD hubmotor with no errors from this.
The actual error mine got, IIRC, was a phase overcurrent error from the motor suddenly being fully loaded as soon as it hit the ground after the bump.
For yours, I don't know your controller, so I don't know what options it has that you can experiment with. If it is programmable, it may also have error messages (mine uses LED blink codes when in fault mode) that tell you what happened.
I didn’t have this problem when running the bike at 48v with a 48v battery.
What happens if you use that battery with the present setup?
Given I did have a different throttle and controller, but the controller I have now is the same model as before just a different one as I thought I had fried my previous one from arching the connector by accident.
If yours is programmable, perhaps there is a setting that is different between the two, that is directly related to the problem.
If it is not programmable, perhaps the setting that is different is a factory setting (which not having access to these, you wouldn't be able to know if there is a difference).
You'll have to check the controller manual to see what it has available, if anything.