This is how responsive works and nothing can not be done in this case. On different devices website works fine but this effect will be always while resizing. And you should to know that resizing is not standard behavior and people do not look websites the way you showed on video.
in the video is a second bug (windows and mac) if i reload the page the parallax background is at a higher point than normal and if i scroll down it jumps down.
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please make a screenshot of what you mean because we checked this already and did not noticed anything wrong.