  In recent years, different views on the interpretation of Lorentz covariance
of non commuting coordinates were discussed. Here, by a general procedure, we
construct the minimal canonical central covariantisation of the k-Minkowski
spacetime. We then show that, though the usual k-Minkowski spacetime is
covariant under deformed (or twisted) Lorentz action, the resulting framework
is equivalent to taking a non covariant restriction of the covariantised model.
We conclude with some general comments on the approach of deformed covariance.
