Does "most wished for" affect Amazon ranking?

Hi,
One of my competitors has launched a brand new product and they have jumped straight to No.1 in the keyword searches after one weeks worth of sales.
I have also noticed that they are the "most wished" for product in the category also.
I know that they are using AMZ Reviews and my feeling is that they are asking reviewers to add the product to their wished list.
Does the wish list affect rankings at all, and can I ask reviewers to add a product to their wishlist or is that not allowed?
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