Carthage spoke a semitic language
https://en.wikipedia.org/wiki/Punic_language
They also had an extensive empire including parts of Spain and used lots of Iberian mercenaries so it wouldn't be surprising if the mtdna came from Iberia.
Very true, as my map of the extent of the Carthaginian empire in Spain was meant to show. Obviously, that wasn't meant to stand for the proposition that there was a massive influx of "Phoenician" or "Carthaginian" genes into the people who would become Iberians, merely that some of them could certainly have had children with an Iberian woman, who would have passed on her mtDna to her children.
Could be wrong but I assumed he meant arab-semitic i.e. specific aspects of arab phenotype (if there are any?) that might not have been in the Levant in the Punic era.
The problem arises, I think, when we use linguistic terms to stand for a genetic "signature". Arabs speak a Semitic language, but so did the Phoenicians, and the Jews, for that matter. Are there genetic differences between them? Yes, I'm sure there are, but there is a great deal of overlap, as well, certainly today. On 23andme, for example, Palestinians and perhaps even Jordanians cluster with Saudi Arabians and Egyptians. Was that always the case or is it the result of continuing migration from the direction of Saudi Arabia and East Africa? Where would the Phoenicians have clustered? Would they have clustered with them, or perhaps with the Syrians and southern Anatolians? We won't know until we have ancient autosomal results, although I think perhaps they might have been closer to Syrians.
As to their phenotypes, we do have their own art to look at, but how realistic was it versus copies of Greek art? That's particularly problematic for any of their art produced on Cyprus.
This is a Phoenician sarcophagus:
A painting of a rather fetching young girl:
So, I guess it's take your pick.
Ed. The eyes are rather uniformly large, so the small and close set eyes of the reconstruction don't seem the norm (which one would think they based on the skeleton), unless this was all convention.