Well there are two things going on here. Firstly, the more relevant figure for comparision is that "61,000 basic words" figure in the paper, or a number somewhere in between. Secondly, this:
isn't true. Some people reach JLPT level one in 4-6 years. How could someone who has been studying the language for 4-6 years possibly have the same vocabulary as someone who has been immersed in it for 20 years since birth? That's not logical. True, JLPT test-takers generally know a lot of college-level Japanese that a child would not know, but the reverse is true as well.