LOTV CAN run, guarantee it, and for that I am strongly prejudiced against it for a 'public' garden where I feel natural 'neatness' is preferred. Maybe that is just me. If it is used, I'd start it in its own distinct patch that you could edge every year, along part of the brick path perhaps. Could even be in a corner where kids might cut the corner and trample a bit- very tough plant. I can't picture what it does when it dies back for winter, I never cut it off, so I guess it dries up and blends with fallen leaves.