Change an icon to use fills instead of strokes? No problem. Change colours? No problem. Align the image in the middle of viewport? Remove excessive spacing? Make icons from different sources the same size? Grab a logo from a PDF? No problem.
Though my days as an aspiring graphics designer are long past, I would think that Inkscape is also a good tool for creating logos and icons. The node editor really is quite good.
For web/app design there are a lot of shortcomings though. There's no dynamic snapping, filters on groups (e.g. drop shadows), reusable components. The text editor is also very basic and counter-intuitive.