Not OP, but I do the same for ~7 accounts across 5 institutions. There's no need to contact them since you can manually download the statements, but it's a chore if you're doing it frequently. I usually run my script a few times a week.

> Could you not shoot an email to those institutions asking for a copy

They’ll respond within a few days, asking me to log into some web portal to prove that I am me, and then we’re back where we started