non-obvious that the scrollbar is not at the bottom
I like that.
I like the tint because it doesn't interfere with writing, if you are composing a message with the scrollbar scrolled; it isn't distracting from the rest of the display; but it is extremely obvious, and you can notice it at a glance. An icon would be similar if it was big enough, but it's rare that the entire editbox would be hidden. Perhaps the option could be offered of which edge to tint, or tint the titlebar, scrollbar, or borders, or where and what icon to use.
Here is a graphics formula for computing a tint from a base color.
http://home.comcast.net/~castironpi-misc/autotint.1324282474.png
I spent some time tuning the formula, so the normal foreground color would usually still be visible, but it also works with dark, light, or colored window background colors. For saturation 's' and luminosity 'l' of the colors represented in HSL color space:
if l== 0:
s, l= 0, .15
elif l== 1:
s, l= 0, .85
elif l>= .6:
s, l= s/ 3, l- .15
elif l>= .4 and s>= .2:
s, l= s/ 3, l
else:
s, l= s/ 3, l+ .15
Roughly speaking, saturation is dimmed * 1 / 3rd, and luminosity is dimmed towards 50% by +/- 0.15.