I am not sure I agree with your first point. It seems the most frequent case is that a user wants to access content right away. Regardless of how much "better" the native experience might be, its a lot of hoops to jump through to fulfill the immediate need.
I certainly can't argue that it does yield positive business results under certain scenarios, but for the average user it seems to injure common web experiences.
Sure -- that makes sense. I find that it depends upon the category or space that the company is in.
For eCommerce, this type of interstitial is a no-brainer: users have an easier time feeling more secure purchasing through an app vs. Safari or some other mobile browser. (Especially if it's Apple Pay enabled!)
For content heavy sites, it might be that the opposite is true: faster access to content can be used to hook the user. If you own one of these sites, you still need to design a method to get the user to come back repeatedly after you post updates. Email subscription modals do a good job at this, but people hate giving their email - especially on mobile.
Considering that even Amazon's iOS app was worse than their site the last time I checked—which is really impressive since their site is terrible—I doubt I'm going to gain anything by installing the app for Bob's House of Air Conditioners or whatever.
I certainly can't argue that it does yield positive business results under certain scenarios, but for the average user it seems to injure common web experiences.