Well, I am not sure what your workflow was to ingest the source camera clips into the system. But the two screen shots you posted indicated an interlaced source on an interlaced timeline.
25p is progressive. Some video cameras will record a supposed "progressive appearing" image, but in an interlaced format.
Do you know what the original camera was, and what the settings were on the camera when the clips werre made?
How where those clips taken off the camera media and ingested into FCP?
That is correct, you need to convert the native camera files from H.264 to ProRes. How did you do this?
I have seen cases where a converted file will be flagged with field dominance even though it is a progressive file. If you used a converted file that was incorrectly flagged as the first clip on an FCP timeline, and FCP prompted you to match your sequence to your source clip and you did so, you may be unnecessarily editing on an interlaced timeline.