Are there more stars in the sky of the Southern Hemisphere?

I quote from Borges' essay "The Divine Comedy," the content of which was a lecture he gave in Buenos Aires in 1977:

They [Ulysses and his crew] sail and leave behind Ceuta and Seville, enter the open sea, and turn toward the left... Then he tells us, "in the night I saw all the stars of the other hemisphere" -  our hemisphere, the Southern, full of stars.  (The great Irish poet Yeats speaks of the "starladen sky."  That is untrue in the Northern Hemisphere, where there are few stars compared to ours.)

I suppose I could search the answer online, but there must be a reader out there who has lived in both hemispheres, or who has a sufficient knowledge of astronomy to answer the question.