I guess thinking about it this is a very reasonable compromise, but it feels weird to start scrolling up and down with a cursor that shows a left-right arrow and that is technically pointing outside of the scroll bar.
It ... doesn't work for any Linux desktop, most especially those using Focus Follows Mouse (certainly for strict, often for lazy) policy.
Though that's useful to know.
Though I'm using click-to-focus, not focus-follows-mouse, so YMMV.
If I have a window positioned to the right edge of the screen ... the scrollbar is draggable only when my mouse pointer is positioned directly over the scroll grabber. Not when pushed to the edge of the screen.
This seems to apply generally for windows best I can tell.
TL;DR: The behaviour you describe is not at all what I see.
It is. Visually there's space between the scroll handle and the window edge, but if you actually point the cursor in that space it'll highlight the handle.