Pip evidence

I sent my dd16 pip forms back and they arrived on Wednesday, yesterday I got a text to say that an independent assessor was going to look at the claim (standard text)
Since sending the forms my DD has been referred back to camhs, and I got a brief letter from school in the post to support a referral due to her anxiety stopping her accessing education.
Camhs is overwhelmed ATM and due to no risk taking behaviours she won't be triaged until the end of September
Would it be worth writing to the pip address I sent the form with an update and including the school brief letter or just leaving it until an assessment now?