How to import Quicktime screen recording in PP or AE?
I would try transcoding them in Media Encoder using a format useful for editing (eg ProRes or something similar) to (for example) 60 fps if they are at a variable FPS close to that, and see if it looks better.
Or try transcoding them to the frame rate you're planning to deliver at.
If you are capturing the screen recordings using ScreenFlow, there is an option to specify the frame rate. I don't think Quicktime has this.