I'll assume her preferred grasp is an ineffective grasp, and that's why the OT worked on it. I'm in my forties, and I unconsciously slip from a tripod grasp to my preferred grasp all the time. It's not ineffective, though. It's similar to the ones Chinese calligraphers use. It's much more comfortable for me, particularly near the end of the page, but I do get ink smears on my pinky.
On the other hand, I rarely write anything by hand anymore. In my 6th grade social studies class, the only thing I ever make my students write in cursive is their signature, and I'll write their names on a sticky note if they don't know how to do that.
When I was in seventh grade, I developed my own handwriting style, with lots of crazy rules for unique situations, like forming the o in store from the cross of the t. When I became a teacher, though, I had to re-learn standard handwriting, so now my handwriting looks like a middle school student wrote it.