Unless there are some tax effects, which might matter-- and taxes always complicate things--but disregarding tax effects, it doesn't matter which you do.
If he doesn't name a conservative, that could complicate his already strained relationship with conservatives from across the country, which could spell trouble if Christie decides to run for the 2016 GOP presidential nomination.
Their reasoning was that this would complicate payments, slow service and annoy customers who weren't accustomed to credit card-only sales on airplanes.