Nah, it doesn't "feel like" a native app. It feels like an incredibly fragile app-like porcelain on top of a webpage. A native app, a webview packed as an app and a website looking like an app are all easy to tell apart if you've used all three categories in the past and have at least little attention to details.

But yes, I can buy this is part of the reasoning. I think most of it is "we need to make SaaS; cool kids use React, so we'll use React too; now we have an SPA, so the easiest path is client-side navigation".