Is there a way to hide Products Shipping Weight from the New
Products and Featured Products listings? Or possibly a way to hide the display of shipping weight if equal to zero?

When looking at New Products and Featured Products, it will show each product with: Weight: 0lbs

I know that I can turn off the display of a products weight site-wide in the admin, but we do have some products with a value for weight. We don't price by weight and is just used for reference.

Not a big deal, but just trying to see if a way to hide those zero values.