My launch day PS3 works fine, too. But the second one I bought to use as mainly a bluray player is kaput.
However, the point that these games won't be able to played after the hardware is discontinued and the servers are shut down is still a relevant one.
For example, let's play out this imaginary-yet-completely-possible scenario: You paid $20 for Shiny Happy Fun Time on the PlayStation Store and loved the shit out of it. In a couple years, you want to play SHFT again, but your PS3 is on the fritz. So, you hit up a used game shop for a used, functioning PS3. You boot it up, enter your account information, and head to the PlayStation Store to acquire the copy you paid for. DOH! Sony has decided to remove Shiny Happy Fun Time from the servers, so you can't re-download it! NOOOOO! *tears*
And...scene.