Absolutely! If she is proud of it, and they help, submit them everywhere.
State schools requiring them is probably linked to the no test access issues in your state. Our test access issues in CA are clearly linked to our state schools being test free. I wouldn’t be surprised if that is also why some of the CA privates went from test optional to test free as well. I’m told lots of places that used to offer testing sites here no longer do.
A factor for my kid opting out was also that her high school is also exceptionally strong in testing (I think the median SAT is like a 1450 or something like that), so it would take a lot for her to stand out in the context of her school. And, when we looked at her list of schools she was interested in, not a single one required test scores. So it made no sense for her to start a test prep journey. Her college counselor was 100% on board with that for her and said she didn’t need to. So, lucky for us.