One of the big advantages of JSON-LD is that is can provide structured information to Google indicating how customers can perform a further search on your site. This means Google may choose to display your brand's search results like this:

JSON-LD for SEO tries its best to provide all possible information about your store search to Google, however it's important to note that we can not guarantee that Google will display this search box when someone searches for your brand.

The reason we can't guarantee this is because ultimately displaying this box is a decision made by Google's algorithms, which they don't share publicly.