If organization is a problem and continues to be so along with all the other issues, I actually think getting her tested would be good even if she's not having any major academic issues at this time.
I've always been messy and at least appear disorganized (often I have some sort of organizational system that only makes sense to me and doesn't involve neatness). As a kid, I could clean up my room/desk/etc. and 5 minutes later it'd be a mess and I wouldn't know how it had happened. I was also really smart. I got good grades in advanced classes. And then I hit college and things started to fall apart. It was really originally only obvious in things like science classes, but somewhat spread to all my classes over time. At 21 someone finally said "I think you ought to see a neuropsych for testing as I think you might have a learning disability". At 22 I was diagnosed with LD-NOS with executive processing problems, auditory processing problems, and other relevant problems. The only reason I didn't walk away with a Non-Verbal Learning Disability diagnosis is that I'm very good with maps. The neuropsych told me that if I hadn't been really incredibly smart, I'd have been in for testing by the time I was 8 due to the level of difficulty her tests showed.
The good news at 22 was that I had an answer. The bad news is that at that point it was in a lot of ways "too late". I only had a year left of college (for unrelated reasons I went on leave from college twice so finished over 6 years instead of 4) and was an English major so a lot of the recommended school accommodations didn't even apply to me. And as someone now out of school and living as an adult, it's made working hard. I also have physical impairment and the two combined mean I'm struggling in a job that I should be having no problems with. The extra mental energy it takes to work through the executive functioning problems and the extra physical energy it takes to move through my day make things exceedingly difficult. And I'm still doing much to create my own coping strategies because no one really knows how to teach them to adults who weren't diagnosed with learning disabilities as a kid.
So, while a diagnosis might not make much difference now for your daughter and it sounds like may not lead to an IEP, it might be a way to bring in at a younger age some of the coping strategies which will make her life easier down the road.