A lot of Mark IV Supra owners either have a turbocharged 2JZ or want one. For example this 1996 Supra came from Toyota with a naturally aspirated 2JZ-GE but the new owner never intended on keeping it. Instead he wanted to swap it for a 2JZ-GTE. But after doing research he found the 2JZ-GTE was too expensive and affordable versions were missing important components. So he decided to use a 1JZ-GTE. Another benefit of using a 1JZ-GTE is the owner had always wanted to run a single turbo and the 3rd generation version came from the factory with a single turbo.
Source: JDM Style Tuning