I'm going to posit 4 points for why I believe this to be true.
1) Anecdotally, I was always more productive, energetic, and lively when meals were eaten infrequently. This may be reverse causation, or it may not. Perhaps frequent feeding promoted stress, or the stress made me focus on eating all the time.
2) Starvation triples lactase activity in rats: http://gut.bmj.com/content/24/7/648.full.pdf
"This finding suggests that patients with SIBO, who do not recover after a standard course of antibiotics, or botanical antimicrobial protocol (which we prefer), may benefit from the addition of a prokinetic agent, which increases the muscular contractions of the small bowel."
Hunger makes your stomach growl. Stomach growling is simply peristaltic motion of the intestines.
4) It intuitively makes sense that periods of starvation will starve bacteria as well. Eating a steady amount of small meals will provide a constant line of nourishment to bacteria.
Bonus) It's generally agreed upon here that people need variety, boredom is a stressor, etc. This fits in line with that.