Several thoughts.
I think my car draws about 1kW when it isn’t charging but using the A/C. Worth checking camp mode etc.
Also, the charge rate will taper as the battery gets full so 1-4kW at 96% SOC wouldn’t be unusual.
And, I’d either set scheduled departure in the car OR use the OHME don’t use both at the same time.
Perhaps as the battery cools overnight it’s charge % changed and so it took on charge to maintain the %. Normally the car might just sleep through this but the OHME probably wakes it each half hour.