I've recently looked into category page in Wordpress. If I understand your question correctly, you're asking if the title/description of a product pages affects the linked category page. The answer is not directly, and not much at all if any. If you're using WP you can install the YOAST SEO plugin and use it to force descriptive titles/descriptions of category pages. Let me know how it goes.
Best posts made by marshalllj
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RE: Product descriptions & category pages
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RE: Top Local Organic Rankings, But Nowhere to be found on Google Snack Pack
I've had Moz Local for my site for over a year and I have a 98% score, but I'm not in the local pack at all. Moz shows 0 vs my three competitors that show 40-60. I don't get it. We're a new kid on the block but we've been up and running over 2 years now.
Thanks,