The Squier Dimension pickup is a standard double-J pickup with a custom cover. I'm not sure about the Fender version. Though the preamp is likely different, because IIRC the Dimension never had a passive mode.
The Dimension HH appears to have the pickups in the same place as the Meteora. It's the single-pickup Dimension H that had the pickup in the Stingray "sweet spot". I think this was part of the problem with the Dimension: it looked like it should have sounded like a Stingray, but it didn't. The Meteora doesn't look like it should sound just like anything else.