No doubt the system is flawed. But this story is 7 years old.. In the age of the internet, that's like written on papyrus. Systems like SoundScan and such now monitor the web streams for plays and count plays 24/7. They count video plays on YouTube and other registered sites, which has their own royalty deal. iTunes, Spotify, Pandora, iHeartRadio and others weren't even around or were in infancy.
In the story, the author writes about restaurant owners getting sued for playing ASCAP tunes without a license. Today, they take college kids to court for torrent file sharing! But the premise is the same.
SounsScan has a registry for artists that it has been looking for to PAY royalties for years. Like Dino & The Diplomats on Laurie Records, The Velvetones for "Glory Of Love"...Robert DiNero used their song in Goodfellas, A Bronx Tale, and Casino. It was reissued on each CD soundtrack. They got paid for evry theatre showing, TV showing, Cable showing, CD reissue, and can't find them. The money is in escrow.