If your question is whether being part of the Zapier integration catalog will drive new customers / business, then I wouldn't count on it being a major growth channel. Though, being listed will serve as additional credibility and will likely have branding and SEO benefits for you.
On the other hand, we found that building a Zapier integration made customer on-boarding faster and smoother, which helped to speed up our overall sales processes. While slightly different from your use-case, our product requires an API integration, so allowing customers to integrate via Zapier instead of requiring development effort to support our APIs has reduced the cost, time/conversations, and resources necessary for our customers to work with us. It also reduces technical support requests.
Finally, seconding what lpellegr said, Zapier has now introduced Partner Tiers, meaning that you need to get your own users before you can graduate to a listing level of beta and then even more users before you get other benefits like a blog post and potentially featured status.
Overall, I'd look at whether these benefits are worth the engineering effort. If your main goal/priority is marketing then there may be other exciting growth/marketing opportunities that would be a better use of time with better ROI. Hope this is helpful.
