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GM C6 bars fit on the C5. This bar fits a C6 according to the info listed. So I cannot see why it would not fit a C5. Have you looked at the available C6 bars from the forum vendors? They are much less expensive that the one you linked to. I have C6Z06 bars on my 04 CE vert and they were at least $50 less than the one you link to.
I'll suggest that you do NOT want to install the ZR1 bars on your C5.
The C6Z51 or C6Z06 bars are a nice combination with the C6Z06 shocks which also are a bolt in replacement. If you have the F45 shocks on your car currently, you will need either resistors (simulators) to fool the system or have the F45 option disabled by someone with a Tech II tool.
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.