For UIL - You need to get permission only if your publisher does NOT appear on this list. https://www.nfhs.org/articles/virtual-state-adjudication-permissions/
Be sure to refresh the website often as it updates with new publisher additions. Click on the links to see if a publisher holds the imprints for another publisher. For example - Hal Leonard holds the imprints for probably 200 publishers (I didn't count)
I have used emails from publishers as written permission before without any issues at all.