Sometimes I'll just pop into a meeting from my phone and walk around. That said , I do have a laptop but only because I go to the office every so often . Otherwise, I work exclusively from my home office because that's where my home desktop computer is and I control everything on my work computer from there.
There's a lot of value in camera-on, but for some meetings, I love being camera off, nowhere near my computer, somewhere else in the house, watering plants or sweeping the floor. Sometimes it actually has me MORE engaged with the verbal aspect of the meeting, listening better, speaking better, because there's less distraction from Slack and Hacker News...
I'm much more attentive in some meetings when my hands aren't on the keyboard. For particularly important meetings I'll get out my knitting so that I can be close by while having something that's not failing unit tests occupying my hands
Off now, but historically even at camera on companies I'd do whatever and just hold my phone when convenient for me or just shove the meeting in my pocket if I need my hands.
Obviously depends on your team culture, but try it :)