I think clean and attractive is key. At least for me. If you have a product I want and your landing page is well designed and clearly explains the product, then I am much more likely to try your product.
I assume, right or wrong, that if you out that much work into your landing page, you must have put the same into your product.
Now if your product stinks after trying it, I'll leave just as fast. But at least I have it a try. I'm sure I'm not unique in that regard.
Now, if you are resource constrained, focus on the product first, of course.