those same idiots will be suing everyone who simply listens and remembers a piece of new music
They're already doing that and calling it "plagiarism lawsuits". See Bright Tunes Music v. Harrisongs Music ("My Sweet Lord"), Three Boys Music v. Michael Bolton ("Love Is a Wonderful Thing"), Gaye v. Thicke ("Blurred Lines"), Wolfe v. Led Zeppelin ("Stairway to Heaven"), and Ed Sheeran getting sued twice. This is not to mention other cases that you don't hear so much about because they're settled out of court: "Stay With Me" by Sam Smith is too close to "I Won't Back Down" by Tom Petty
The best one was John Fogerty getting sued for "Old Man Down The Road" sounding to much like "Green River" which he sold the rights to. "You sound too much like yourself!"