That's $1.5 million not $15 million. Still, that would make you think they caught some kind of a music piracy ring, not a random woman that downloaded a couple dozen songs.
I think that you've restated what the RIAA wants people to think: "$1.5m... [which must now be paid because] a random woman ... downloaded a couple dozen songs."
That's not really what this is though: she shared/uploaded/seeded those songs for others to download. The verdict isn't b.c she downloaded the songs; it's because she shared the songs to an unknown number of people.