I think its quite reasonable to expect a 15 year old bike with relatively high KM's to be a bit tempremental when it comes to starting. In saying this the ZXR shouldn't have a problem firing up if you start it correctly the first time - learn the right amount of choke for the bikes temp and situation and you should be able to get it started first time everytime.
Getting the simple cheaper things done can also greatly improve things, stuff like just replacing the oil with a quality oil and replacing all the plugs as well as cleaning out the air filter and flushing out the coolant and replacing with fresh. Batteries arn't expensive so getting a brand new one is a good idea too.
I also had some trouble getting mine started when I first got it - it pretty much needed to be crash started everytime which is a real bitch. I got the basics maintenance done and after that it had no problem starting.
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