Refactor Snippet editor props going through multiple layers

[igorschoester]

With the implementation snippet editor for the settings (see: #9896) there where a lot of layers introduced. A lot of the same props have to go through these layers.
I feel like we could do this better by passing along destructured props. That way any new or changed props are automatically passed along correctly. Which means the code is less prone to mistakes.

There are layers in both wordpress-seo and yoast-components.