Last time I needed them was a year or so ago to deal with a broken mouse for which Logitech didn't want to handle the warranty. Logitech stringed me around for 30 minutes with random questions from a dude via chat who was obviously doing something else. This was after their "AI" asked me the same exact questions. They apparently don't deal with claims from product bought on Amazon (regular Amazon, not marketplace). But this was the guy's last question.
In contrast, the limiting factor to getting on the phone with an Amazon support person was the distance between my desk and my phone. Two minutes later, the fully-paid return label was sitting in my inbox.
The "chat" button disappeared from the help & contact us, and to talk to real person you need to go through bunch of jumps.