Does Pizzella's experiment violate causality?

Recent experiments, performed by Prof. Pizzella's team with relativistic electron bunches, indicate that Coulomb field is rigidly attached to the charge's instantaneous position. Despite a widespread opinion, this fact does not violate causality in moving reference frames. To see that, one should apply the Wigner – Dirac theory of relativistic dynamics and take into account that the Lorentz boost generator depends on interaction. Then one can show that interaction remains instantaneous in all reference frames. (paper)