Clearly predates Cro-Magnons
Of course it is a big, fierce looking dog. These men needed them as guards, allies, companions. Unfortunately a terrier would not have been that useful to them.
Like mankind, a multiregional hypothesis always fits more closely with the facts. Meaning dogs were domesticated from scratch several times by Neanderthals in different places.
I think that Cro-Magnons are simply too strongly disposed towards warfare to take much interest in these things. They are capable of seeing the usefulness of such animals once the hard work has already been done but I think it is just not part of their nature to attempt these things. They could stare at hyenas, wolves and jackals for hundreds of thousands of years and never have the inspiration to domesticate them. Jacob in Hebrew means one who stands on the shoulders of another, one who does not do any work of his own but simply rides along on the coattails of another.