I am not a doctor but according to the US president's press briefing both words can be used interchangeably (link above).
Influenza and coronaviruses are both categories of virus, but they are very different categories. They are not only not the same family, they are also not the same order, class, or phylum.
That's like if we were being attacked by horses, and Trump said, "You can call these horses many names... including octopus."