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Since they come on with AC line pressure the relays are fine and so is the ECM connection as well as power connections.
I bet there's a chance that when you replaced H20 pump that you may have unplugged sensor wires. If your 1996 lt1 is like a 90 l98 in this area, and I think it is, your temp sensor is located just under the thermostat housing up front. Make sure it's wires are not damaged or unplugged.
Designer Imagines A Corvette That Looks More Like a Corvette Than the Corvette
Slideshow: A Jaguar designer's personal project imagines what a modern front-engined Corvette might look like if Chevrolet revisited the golden age of the Stingray.