hexl-mode replaces scroll-down and scroll-up with hexl-scroll-down and hexl-scroll-up, but these functions ignore next-screen-context-lines; when ruler-mode is off, they scroll by exactly as many lines as are shown in the window, and when ruler-mode is on (as it is by default),
they scroll by one line more than are visible (in other words, they skip a line).
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bug#7031: hexl-mode ignores next-screen-context-lines,