Sounds like the same problem i had with my 04 F6. Like said, check belt deflection. I had to take a shim out of my secondary, perfect now! Although i was pi$$ed, when it started doing that at 5 miles on the sled. It just slips when taking off???
make sure you have an 0627-020 belt. In o4 and 05 cat had 031 belts which were high mileage belts. The things are garbage. Had the same problem with it on my 04 and 01 zr 600. Went back to an 020 and no problems
Since the 020 is a fair bit softer than your stock belt it'll throw your clutching set up out to lunch. If defection is kept on the tight side the harder belt will not be an issue and will prove far more durable than the 020.
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I would disagree with your clutching statement. The sled runs and is as fast with either belt. the 031 is harder but you have to have perfect belt deflection. 031 is great for a low hp touring sled but not for a high hp performance.