I call bullshit.
EDIT: Sorry, I should clarify, yes, really loud noises and harsh vibrations can damage hard disks. That's nothing new. As for laptop speakers (or even typical desktop speakers) causing problems, I highly doubt it. Whilst spinning rust hard disk drives are precision instruments, they are pretty resilient, especially the 2.5" laptop drives. Not to mention laptop speakers simply wouldn't have anywhere near enough output capability to be able to damage anything. They would tear themselves apart long before they damage a hard disk.
Also, why single out laptops? There are several all-in-one desktop machines and car infotainment systems that used 2.5" drives with much bigger speaker drivers/woofers, yet, no signs of any issues there.
Finally, as a gay guy who listened/listens to a lot of Janet Jackson at volume, I've never killed a hard drive.