It's not the false positive that is the issue here. The issue is that a. it took way too long to get the business back up and running, and b. the second response gave no explanation and no recourse for the business to become operational again.
The very fact that this can happen from an automated script with no oversight should give every one of your customers pause as to whether they continue with your service.
I'd say the issue is that DO is shutting down servers for any reason at all (legal issues aside). If DO sells a product with a particular capacity, why should they intervene at all if a user is using all of the capacity they're paying for?
The very fact that this can happen from an automated script with no oversight should give every one of your customers pause as to whether they continue with your service.