We recommend you just undo the manual scale factor setting.
Just to let everyone know what happened in the end. I switched back to a round front ring in my recovery week. Seemed like a good time to do it, so I could perform a Ramp test if I would have ended up with totally different readings.
I made a workout in workout creator 20 minutes long just stepping up 5% every 2 minutes. Did this once with the oval rings but with the power data from Kickr Core on TR and the power meter data on my head unit. These numbers overall still matched.
After doing that I followed Ivy’s advice and when I changed back to the round rings I put the power meter Scale Factor back to 1 (instead of 0.94) and completed the same workout again just like before. Numbers matched.
Conclusion:
In my specific case the oval rings would have given me 6% higher power numbers if I hadn’t put the scale factor to 0.94 to match my Kickr Core numbers when I first got my power meter. (4iiii left only). At the factory settings and on a round ring the Kickr Core and the 4iiii read almost the exact same numbers.