ZZP's are a high flow cat, it could very well set a light. Every car is different and every cat is NOT made the same as it's impossible to do so. That being said, you could buy one and not have an issue for years or you'll install it and get a code within a few hundred miles.

I installed a weld in style walker cat on my sisters grand prix 2 years ago, hasnt tossed a code since and has maybe 5,000 miles on it.