When you are at battle tower in Pokemon diamond do the see count?

Yes, the Pokémon see count is carried throughout the Battle Tower. For example, if you have battled fifty times while using Gyarados, that battle count still counts when you reuse Gyarados in the Battle Tower. Additionally, while the Hall of Fame ribbon allows Pokémon to repeatedly rematch strong rental trainers on the fifth Battle Tower floor, these rental Pokémon carry their own set of battle count.