This argument has existed since native apps were first introduced. One of the problems I see now is how horrible and frankly broken browsing the web can feel, especially on a mobile device. With all of the cookie confirmations due to GDPA and other ways mobile websites try to engage you (such as popups to subscribe to a newsletter or for discounts off your first order), some websites become almost unusable on a mobile device. If that's the future where native apps don't exist, count me out.
There is no difference regarding GDPR/newsletter/discount popups between website and application. It's up to the owner if they want to nag users, and on which platforms.
(as for the GDPR, consent must explicitly be given in app as on the website, if they are doing tracking and sharing the data with 3rd parties)
I disagree. Native apps usually don't have annoying popups especially to the extent that the web does. Saying there's "no" difference isn't being genuine.