I run my march pump dry all the time. Not totally dry, but either the mashtun runs dry, or I turn off a valve and don't get around to switching the pump off for a few minutes. It's still running great. Don't sweat it. I guess if there are a few drops of fluid in there swishing around, the pump is quite happy.
That's really not what is meant by running the pump dry. A few minutes with no liquid in the volute is unlikely to do any harm. OTOH, running it dry for an hour or more is an entirely different matter. I wouldn't do it intentionally with the March, LG or any other brand, particularly for extended periods and it's probably best to avoid dry running whenever possible.