Are there studies on in-app user feedback?

I'm considering to ask users in app for feedback on a specific feature, right after they used it. The goal is to have a) quantitative feedback on the feature and b) a list of comments from step 3 where I can see what people would like to see improved.

It would be a 4 step process,

  1. Non-blocking bottom sheet to ask for feedback
  2. Dialog with quantitative question (can be dismissed)
  3. Dialog with free-text question ("Why?", can be dismissed)
  4. Dialog to ask for data processing consent (GDPR)

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I have seen similar approaches before, for example from Google Lens:

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Are there any publications on how valid this kind of feedback is, and whether it has a negative effect on the user experience?

I find plenty of service providers who make these kinds of in-app dialogs, but so far no solid literature on their usefulness.

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