If she's tall enough, I'd say she couldn't choose a better all around bike than the SV. If she's a shorty, a ninja 250 would be the way to go.
That being said, I think the SV is one of the best bikes anyone can learn on. One of my favorite things about an SV is that you don't have to ride it at high RPM's to get it to run well. This is huge for a beginner.
As you well know, any bike will get a beginner into trouble. The SV is just more forgiving. I have found it to be extremely well balanced, so even if it's weightier than your GSXR, it doesn't feel that way. If you can find a used one, go for it. The ones that do show up tend to be well taken care of. (SV's are holding their prices very, very well too!) The only difference between 2002 models and all the earlier ones is that they added adjustability to the front forks. To be honest, I didn't notice the "soft" suspension until almost a year after I bought the bikeand had gained a lot of confidence in my skills. People gripe and complain about it, but for a beginner it's hardly noticeable.
My first sportbike was a 1995 YZF600R. I think they are great bikes, but not for me to learn on. It felt like a tank and I had a hard time enjoying riding it. It felt really top heavy to me. My confidence rose 1000% when I traded it in for the SV. Wind problems? My YZF bucked in the wind no more and no less than my SV does. That's not a problem I'd worry about with her on any street bike.
You will have her take the MSF course, right?