It's pretty common to live out of a camper and travel seasonally or between jobs. Sure you're not sipping margaritas on a beach but you're fairly free to take on as much or little work as you want.
People that own their own small businesses (other than an LLC for legal reasons) don't generally do this because you need to stay where your customers are but I know electricians, HVAC guys, plumbers and carpenters who will get a job working on something (e.g. HVAC for a factory) for a few months, park their trailer local to that job, line up another job before that one's up and possibly include time for a week of sightseeing and vacation in-between.
If those guys are traveling seasonally or between jobs, it's because they're following the work or out of work. They are not choosing this lifestyle, they are entrapped in it. Yes, if they end up driving by the beach or a national park on the way to the next job they will stop and enjoy but, not the same thing at all. The term lifestyle business does imply something different, more like the folks in the article, or Tim Ferris, or something whether you like the term or not.
There are definitely people who string together outdoor guiding, ski instruction, scuba instruction, etc. etc. gigs. I'm not sure if that really constitutes a "lifestyle business" though. More an itinerant lifestyle.
On the other hand, they guy who owns the scuba shop and uses the (hopeful) profits to be a ski bum for the winter probably does have a lifestyle business if that's his thing.
People that own their own small businesses (other than an LLC for legal reasons) don't generally do this because you need to stay where your customers are but I know electricians, HVAC guys, plumbers and carpenters who will get a job working on something (e.g. HVAC for a factory) for a few months, park their trailer local to that job, line up another job before that one's up and possibly include time for a week of sightseeing and vacation in-between.