What DenisM is describing is not the result of a systemic error. It is not an error at all. 'Something' is travelling faster than light in that experiment. The problem is that the 'something' isn't a physical object.
The common example is the beam of a lighthouse. Suppose a lighthouse revolves once per minute. At one lightyear distance from the lighthouse, the angular velocity of the beam is 2*Pi lightyears per minute, which is much faster than the speed of light. However, this is not a problem: the beam is not a physical entity. There is no single particle actually travelling faster than the speed of light. It's just some construct in our minds to which we assign that velocity.
Something similar is happening in the experiment described by your parent and possibly in the experiment in the linked article.