Since ZBQ has 2 pitmasters, we sometimes split the team to suit people's schedules and cover more contests. This year we also tried a Fri/Sat and a Sat/Sun on the same weekend in two different locations. Perfectly acceptable to KCBS as long as the turn ins are on different dates. (Worked out OK, we both got top 10 finishes too.
I believe the purpose of the above rule is to prevent people from doubling down and entering the same contest twice using two different names. You will also get DQ'd if you do two different contests that have turns ins on the same day, using different people but the same team name.