Yeah. It is more likely to be an event than being a non-event from your results.
We send mails to customers for asking credit cards application. The response rate is < 5%. In a logistic model, the best prediction for almost all customers is always a non-response (event =0). On the other hand, we do see some groups are more tended to apply cards than others (OR >1). That is what we had learned from wasting so many junk mails.
JingJu