Thanks! We already tried it and she liked it so far, but unfortunately, the tablet had only Paint installed. She doesn't do hardcore art, but the sketches she draws should have a certain quality (No jiggy edges, which I heard was a problem when drawing slowly). I think I'll ask for a demo with a sophisticated drawing app next time I'm in the store. But the linked article gives me hope that this might be perfect for her work.
Here's a good test to try in the store. You can do it in OneNote.
Using a business card as a ruler, try to draw a diagonal line, slowly (a few seconds to cross the card). Unless they have fixed it recently, the Surface Pro 3 cannot draw straight lines in this way, and they will be quite jagged.
In practice, you might never draw lines in this way, but the same jagged features will pop up everywhere, especially if you draw fine shapes carefully (as opposed to large strokes sloppily).