Yes, but the discussion is specifically about "the most successful species".A group that displays a great radiation into many species can be considered to be successful.
If you want to measure the success of a parent by the success of their descendants, then the only logical conclusion is to say that the first species was the most successful.
I couldn't resist this snippet:
There is a story that a cleric asked evolutionist J.B.S. Haldane what could be inferred about God from the works of nature. Haldane supposedly replied, "An inordinate fondness for beetles."
Apparently a fifth of all known animal species are beetles, and half of those are weevils.