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It has now been longer since apps on smartphones were introduced than it was between the web’s birth and smartphones (to say nothing of popular uptake, it’d be generous to give the web a full decade there before the rise of the smartphone). Combine that with recency bias and the marketing serving incentives of platforms and vendors to push towards “native” and the point seems pretty strong.

There’s some minority of apps where work is offline resource bound or mostly offline regardless, those certainly have always made sense on device, other than that habit and mindset probably is the main driver of preference.

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There are many reasons to prefer an app, most of which are ways OS makers have crippled web apps for reasons that TOTALLY HAVE NOTHING TO DO with the fact that they get a 30% cut if the user chooses the native app.
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Yes, this
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Web sites optimized for mobile weren't really a thing when the iPhone launched. That's why apps shined on smart phones. Web designers did eventually catch up with the <meta-viewport> hack but the trend towards apps was already too established at that point and people thought that you need an app to use a service.
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