Yes. In Diamond and Pearl, you can't do battle videos.
After a battle on Wifi, press the A button when it's displaying who won and who lost. Then you can save a video of the battle. There is a booth on the third floor of the Global Terminal that allows you to upload it for everyone to see.
I would sugest a change for ursaring too. It's ability is quick feet, right? Why don't you give him a toxic orb to raise it's speed, and use facade (double power when statused) instead of slash?