HN is a good example of an SSR web experience done right. How often do you hear members complaining about lack of official hacker news apps? I think the biggest reason is because the site is so simple and fast. There is zero jank to run away from. I can participate on the site just fine even if I'm on the edge of no signal in the desert. I don't need a fancy offline client side model. I need it to be tight enough to fit across a shitty pipe before it disappears.
UI/UX is one of the hardest things you can do, but when done well you can make it work in any medium. Native "feel" is not an excuse in my book. Safari feels pretty damn native to me right now.