I don't think you can see you're records, I've looked in all three tents and have found no record place. You don't really need your records anyway, tents aren't the battle frontier where records determine whether or not you fight a brain, and tents give out little prizes instead of battle points. So there's really no point in the records for the tents, it doesn't do anything to advance you further in the game, and all you gotta do in them is fight three simple trainers, while the Battle Frontier does the opposite, and is much more complex.
But that still makes me wonder why they have to save your game in the tents, since turning off the game when you loose won't make any difference to the game at all.
~Aquarelle