The integration of the always on Assistant on the phone and on the speakers is a powerful combination. Sort of weird it is not integrated into Chome on desktop.
I find the opposite. There's nothing more infuriating when I "hey google" my phone for something that Home can't handle but my phone says "answering on another device" and then the Home says "I don't know how to help you with that". My Home has probably recorded a lot of swearing after those events.
