Well, false positives can happen, but the greater danger lies in false negatives. But it is certainly true that these rapid tests need to be taken with a huge grain of salt. I just heard a report from scientists who did research on what these rapid tests really achieved to work against the pandemic, and the percentage of infections actually discovered by these tests was ridiculously low, especially when weighed against their costs.
What they did do though was give people a false sense of security. They provided a massive number of false negatives (as with my friend, see above), so people would continue moving about, passing the disease on to others.
It certainly didn't improve things that in many test centers, these tests were not done by medical staff but by people who had only done some sort of online crash course.