I believe none of the both of them would be able to triumph over the other.
Apps will stay for those who prefer simplicity over performance.
And websites will remain for people who prefer low costs over simplicity.
In fact, I believe a newer system would emerge which will have all the pros of Websites and apps at the same time.
With time these two platforms will combine and create an optimized way if consuming Internet data.
I think the line will continue to blur until it is hard to define what an app is vs what a website is. They keep coming closer and closer together. And if you ditch the web browser frame they get ever closer in experience to the common person.
It depends what to count. According to eMarketer research, in 2019 mobile users already spent 90% of their mobile time in apps vs. the browser. Also, there are Progressive Web Apps which blur the distinction between a traditional apps and websites