I was going to post something similar - I was able to take 3 months to travel overseas as a 1-person business, and the business didn't collapse or run into any calamities. I always had my laptop and answered customer emails every couple of days.
Maybe it's an issue if you're running a SAAS business. Instead my stuff is consumer downloadable software, so if there was a problem it was usually just a single customer, not my entire customer base at once.