Earlier quoted context omitted.
How about a button? I'd prefer to physically press a button on an intercom box than having something churning away constantly processing sound.
The pebble index seems like the optimal form for this. https://repebble.com/index Could be pressed even if your hands were busy.
That being said, we could solve for fully 50% of in-home voice-assistant use-cases just by developing an extremely domain-specific voice assistant that has an extremely small (ideally burned-into-a-DSP) voice model that only knows how to recognize commands to manage kitchen timers. If such a device existed, and was cheap enough that you could assume anyone who wanted this functionality would just buy one, then this would make truly hands-free activation of a "real" voice-assistant much less necessary, as there'd be far fewer user-stories that would really "need" that. The rest of those user-stories really mostly could work with some kind of ring / belt buckle / shirt comm badge / etc.