Huh. I had no idea the problem was this widespread. For the record, I've never had a problem on any iOS device or Kindle e-reader (iPhone 5s, iPhone 6, iPhone X, iPad, iPad 2, iPad mini, iPad Air, iPad Pro, Kindle Paperwhite, Kindle Voyage). I am stunned that it happens on the Oasis.
If I were guessing, I'd guess that the problem is related to Amazon's new-ish feature of supporting page numbers as well as locations. My workaround for the page-turn text skipping issue is to jump to a nearby location (e.g. if my location before turning the page is 4384, try to jump to 4387). On some books, this isn't possible; there is some defined magic page-starting point and jumping to any nearby location means you jump to that point instead. This aggravates the problem.
And the page turning problem also occurs on my Kindle Oasis.