Hardly a problem.
Of course AI could also just solve the problem by killing anyone who has superbugs, so that the spread of such things is eradicated.
Furthermore, there are multiple examples of bacteria that are resistant to families of antibiotics, which indicates the direction of the trend.
If we don't consider it a problem now, when should we?
What we should, does not matter. When it starts to cost money, or when there is an opportunity to earn money, then things will change.
So - would you say the same thing, if that one person happen to be your mother, or a son?
That wouldn't work if the infectious stage of contamination comes before any obvious symptoms present themselves. Certainly in the case of colds and influenza the symptoms that make you look/feel unwell come days after you've been passing it to other people.