Is it a valid Mass? Yes, and the Church regularly celebrates it.
However, is it distinctively Catholic? If you ask me, then no. The TLM had been in use for 1,900 years in the Church, only to be replaced by the Novus Ordo. The NO cannot be called distinctly Catholic because it's almost the same as a Lutheran or Anglican service. So, I have to say that it is just a Mass, not a Catholic Mass.
Plus, it was promulgated for ecumenism, not for the spiritual good of the Catholic faithful. A Catholic Mass is meant to bring people closer to Catholicism. The Novus Ordo does the opposite.
The TLM is distinctively Catholic, while the NO is not.