I would've preferred a younger Batman. Seeing him and Supes being two inexperienced heroes and learning from each other would be cool and a change of pace from most Batman and Superman teamups where Batman is usually more experienced.
Batman was always going to be more experienced, he has to be. Even if he hasn't been operating as Batman for very long, he'll still be more experienced than Superman. Keep in mind that while Superman went on his whole walkabout thing, he didn't really learn anything. He learned how to control his powers as he got older and then in Man of Steel took them to a new level. That's it. Yeah, he's a hero now, great, but from experience standpoint, all he's learned is how to fly and punch people at Mach 4.
Bruce Wayne, in order to be Batman, he has to travel the world, actively seeking out and training under the very best masters, the most skilled fighters and detectives and criminals. Then he has to return to Gotham, set up his contacts in the criminal underworld, gather his gear and set up the Batcave. The traveling alone would take years, the set up, a few months. So even if he's only been operating as Batman for the same amount of time as Clark has been operating as Superman, he's STILL going to know how to do what he does better than Superman.
He's going to be more experienced because he doesn't just have to learn how to use powers and call it a day, he has to gather skills and abilities to get by without them.
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