Statistically it is still far more likely that they had the flu. I think it is dangerous to overstate the problem because then when it really does become an issue it will be dismissed because of all the previous folks "crying wolf."
So no, I don't think it's statistically more likely that ill patients around a highly contagious disease randomly picked up something else.
Statistics based on bad data (which we know is bad at this point) is analogous to guessing, and when guessing it's best to guess with the more cautious point of view. Is it still more likely, at this point in time, that a person with flu-like symptoms has flu? Probably.
Given the transmission rate from Chinese data (also bad data, but not as bad as ours), the US likely has more flu carriers than Covid-19 carriers. But how much more likely? No one knows, and no one can know, until we get a reasonable sample population tested.
Now is the time to be vigilant. I’d rather have too many people thinking they have this and self isolating/getting tested than too few.