edit: it doesn't seem so. You just have use some weasel language:
>The final rule also bars a business from misrepresenting that the reviews on a review portion of its website represent all or most of the reviews submitted when reviews have been suppressed based upon their ratings or negative sentiment.
https://www.ftc.gov/news-events/news/press-releases/2024/08/...
* Step 1, take a product with a terrible rating
* Step 2, create a new SKU for the exact same product so it has no ratings
* Step 3, get a handful of fake 5-star reviews (in some way the FTC isn't going to crack down on)
* Step 4, blast the old terribly reviewed product that now has good reviews on marketing
* Step 5, get 10s of thousands of sales, $$$
* Step 6, let the terrible reviews pour in
Repeat to step 1 (possibly under a different brand name).
Another aspect is review solicitation. eg: ios games often pop up with their own modal of "Rate us" and if you click 5 it redirects you to app store to make a review, if you click 4 or less it redirects you to a feedback form. They grease the path for positive reviewers.
If you really like an app give it a nice review.
Personally, I'd rather see you add a small UI element somewhere, or a banner that appears briefly but critically doesn't cover up any controls. If you absolutely MUST use a pop up, you know when the best time to do that is? After I've completed some in app purchase. If I'm spending money on your product, chances are I'm moderately satisfied with it and feeling pretty good about it at that moment. Or if you don't have in app purchases, unless you've made a "content browsing only" app, you probably have some workflows that have a definite end state. Prompt me then, at the end of me doing what I've come to your app to do. But I've never once given a review / stars to any app that has interrupted me in the middle of or at the start of doing something.