I can take a shot:
Infectious disease comes down to incubation and transmissibility. Flu is too non-specific, first. There are lots of flus. Flus are caused by viruses.
Ebola shares important traits with HIV - it attacks the immune system.
If Ebola killed slowly, like HIV, you’d see all kinds of opportunistic infections develop in people.
The answer to your question is, it probably wouldn’t matter unless the flu the patient had was so transmissible that it was passed on to someone else and you ended up with a brand new epidemic.
A better question: Can ebola be picked up by pests like mosquitos, fleas, biting flies, and bedbugs? How long can it survive in the pest? Can the pest infect otherwise healthy people by landing or biting them?
Inquiring minds want to know that.
I've been wondering about money and POS keyboards, along with door knobs.