On some level I don't see them as obsolete.
But actually, I spent a few months in a room with a stray cat and all of my DVD and Blu Ray disks and didn't watch a single one. Instead I watched stuff off Tubi, Apple TV, Peacock and my media server. When it was time to clear that room out so tenants could come in I gave most of my discs to the reuse center (sure was agonizing to decide which version of Superman II I wanted to keep!)
Lately it seems like the market for used Blu-Ray players has been flooded with awful Sony units which take more than 30 seconds to boot even if all you want to do is eject a disk. I donated one of those and my NVIDIA Shield and got a used PS4 because even if the boot time is way out of the "consumer electronics" range at least it is a freakin' game console and unlike the Shield I can leave the controller plugged in and expect it to be charged when I want to use it... And the Plex client is great.
Oh, you're spot on about the slow boot times on Blu-Ray players. Also, the copyright notices and previews you're forced to sit through are unbearable. The entire experience is just awful.
In comparison, my kids and I recently watched Jurassic Park on Laserdisc and I was floored by how quickly we were into the movie itself -- it was a handful of seconds.
Also, unrelated, I think we may have worked together a few years ago at a ... "quiet" ad/interactive agency. :)