For games I agree that an app makes sense (though I think at least the games I used to play were in a separate nyt games app). For interactive articles, I've not seen anything I couldn't use fine in my browser, but in theory I wouldn't mind covering up the interactive part with a "Open in the app for a better experience" button (similar to what YouTube does on the video portion of the page). Where I encounter this though is in standard, text-heavy articles that maybe include a photo or two.

I assume the reason they are pushing me to the app is that it benefits them not me (longer dwell times, maybe easier tracking for behavior/ads), and that is precisely why I want to stay in the browser. Covering up a good portion of the article and preventing me from scrolling until I click the tiny link to decline is hostile and is the only thing degrading the experience on the website for most articles I read.

Every time I end up trying an app for things like this, I end up missing tabs.