I have found out that it is also useful in domestic flights. Is one technique to get the most out of your airplane.
For example: In ATB I'm based at San Francisco, and my most profitable routes are JFK, EWR, HNL, BOS and LAX. So, if I select one airplane to do ONLY JFK and EWR 7x weekly, that airplane will end up spending time in the tarmac nearly 5 hours (asuming that those two flights took 10hrs). AND as I don't have a route with suficient unmet demand left that takes 5 hours to fly, there's no choice but keeping it on the ground unless I like to dump fuel.
Sooo...there I apply the LH strategy. In order to make the most of my airplane and to avoid sitting it for 5 or so hours, I schedule it to many different destinations 1x weekly so the only time spent in the apron is during turnarounds or A check.
For this strategy, you should have at least 6 aircraft so you can cover the different routes 1x EACH day making it a 6x weekly frequency, and the best part is that your airplanes were always flying with no dead time to kill. Isn't it what you would like with your AC?
Hope I made myself a point, I'm not very good at explaining