This is just a guess, but I’m not sure getting an e-mail asking for a rating a few days after a purchase is really as “get out of my face” inducing as the App pop ups. When I open an app to buy a ticket for public transportation, that is usually while I’m actively boarding the train/bus (because why would I do this in a timely manner?). That is the least likely moment I’ll respond well to review requests. I don’t think I’ve ever been tempted to leave a bad review over one of those emails, but I’m very often tempted to do so by app pop ups. If I’m not the only one then maybe the data would be interesting?
That being said. Unless the 1 star ragers spend time on their review it’s typically rather easy to challenge by the app creator at least in the Apple Store.
That’s fair, but if you push someone to review your app they’re going to rate it as they see fit, based on what’s important to them, not what the developer thinks is important. If the user feels strongly about a particular element - such as a pop up asking for a rating - they’re going to rate it based on that element. A developer is always free to change the app if they think it’s useful to appeal to that group of users, or ignore that group of users and accept that they don’t like the way you designed the app.