In our previous work, a novel idea that the NUT charge can be thought of as thermodynamical multi-hair has been advocated to describe perfectly character generic four-dimensional Taub-NUT spacetimes. According this scheme, Komar mass M, gravito-magnetic and/or dual (magnetic) N, together with new secondary hair J_N=MN, namely, Kerr-like conserved angular momentum, enter into standard forms firs...