Scrolling pdfs in other windows

I have written about pdf-tools quite a few times – it’s a fantastic Emacs package for viewing and annotating pdfs without leaving the comfort of Emacs. It is not ideal, though – or at least, not ideal for me. One feature of Emacs I often use is the scroll-other-window command (bound to C-M-v), and its sibling scroll-other-window-down (C-M-S-v). They are extremely useful for example when reading documentation or watching live Markdown preview, and I wish they worked with the TeX and pdf-tools duo, too. Well, it’s Emacs, so it shouldn’t be difficult to make them!