My opinion, but for people who have been exposed to Ebola and have seen first hand that there is no room in the hospital will do what they can to leave. With the funds to travel and family to stay with outside the hot zone, being prosecuted for lying on a questionnaire would be a small price to pay for escaping the HZ. The risk to friends and family is not part of the equation for a person who is scared and desperate to leave.
The current policy of using exposure/contact questionnaires depends on honesty and honor in those answering the questions; those two attributes will be pushed aside by desperation every time. Just my opinion.