Your specific usecase has a native solve. Tap the status bar on any scrollable content view to scroll immediately to the top of the page. This has been around since, I believe, iPhone OS 1.
Command+up arrow and down arrow behave exactly as you say on my computer: like home and end do on PC/Linux. Command left and right for how it also behaves on Linux/PC if you're in a text field. They always have? I use that combo all the time and only have issues in Safari tabs that overload the arrow keys with bullshit.
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