What?
> I can't imagine essentially "moving" to a new place 3 times a year.
You're not moving. You don't need to pack your microwave, sofa and stamp collection and organise 3 trucks to move all your stuff. You pack 1 or 2 suitcases with the things you need for the climate for 4 months (which goes by faster than you think).
> I have pets
Ok, others don't so I don't see how that's relevant
> would need to take at least 3-4 days off to pack and move everything
As I said, it's only 1-2 suitcases. You can pack them in a couple hours. If you need an entire day then you do it on a Saturday. Not sure why packing requires extra time off work. You make everything sound so stressful. Do you tend to stress about many normal life things?
> so unless this dude owns 3 properties
Perhaps they do, but truthfully you don't need to own a place to spend somewhere 4 months. I've been to places for a few months and most rentals have fully fitted kitchens and basic things such as hair dryers, etc.
> Not to mention being incredibly stressful (which would make me less productive).
Being stressed over nothing sounds like a subjective you problem, not a general problem. People also pack suitcases to go on holiday and going somewhere nice is for most people associated with happy hormones and not stress hormones.
> I make no assumptions about their actual work day. Maybe they are incredibly productive.
Exactly, they are incredibly productive because nothing was said that would even remotely suggest the opposite.