Actually, in this case the classical velocity addition formula is the correct one to use - the formula you mention applies to a moving reference frame, but the

Actually, in this case the classical velocity addition formula is the correct one to use - the formula you mention applies to a moving reference frame, but the author's objection was that in the satellite frame the CERN folks mis-calculated the time it would take for a neutron moving to the right to meet up with a station moving to the left. This is why to call this a relativistic objection is giving it far too much credit: the author is, quite literally, claiming that the physicists at CERN don't know how to solve a purely classical rate problem.