>>48353047Platinum/HGSS's Battle Frontier is inferior to Emeralds, and the battles there are still fairly grounded in actual rules. If you have never played one before, it's still serviceable and you may find them to be a fun challenge, but they're not even needed to get a Gold Trainer card other than 100 wins at the Battle Tower in a row.
The Battle Subway from what little I have played of it is pretty nice, but you're going to have a hard time getting a bunch of Hidden Abilities since GameFreak made them astronomically difficult to get without the Dream World. The PWT is honestly one of the best ones because of how short the rounds and and how much variance exists. I do not know much about the Battle Institute, but I feel it was really more of a benchmark test than anything else.