Years ago, I had an '84 Omni GLH that I converted to a GLH-T. When I put the engine, the only exhaust I had was the open 2.5" down pipe. I had an entire mandrel bent stainless 2.5" exhaust kit for it, but my muffler guy was about an hour and a half away. As soon as I got on the road it started running hot. So I kept stopping, checking the water level, constantly watching the gauges. Get to my buddy's shop, he installs and welds up the exhaust system for me, and it NEVER overheated again! Not even close, always ran super cold after that!
So long story short, Turbo Omnis are better with a full exhaust!