All thru my 26 years of international (well, most of it was international!), whenever I was on or crossing any active runway, the strobes were always on!
Why not with your boys?
Our official policy is to turn on lights that "silhouette" the aircraft when on the runway. Strobes & landing lights come on on takeoff roll. Taxi light is on whenever moving under its own power.
My problem with it is - many of our old 727's don't have logo lights. Therefore the ONLY thing visible from directly behind is the navs and the strobes. The navs are close enough to the runway edge to be lost in the clutter, so that leaves strobes (same position, but a good deal easier to spot).
In a former life I was a heavy captain, and I never moved without the inspection/turn lights on. Same reason, only from the side - I witnessed a death one time of a ramper running a tug into the side of a moving aircraft in heavy rain. I guess the downside is blinding those taxiing around you.....