Longer term, one of the benefits they might be able to offer users, over other browsers, is better compatibility with local sites, e.g. local banks. And maybe curated apps/extensions.
I think they grossly over-estimate their abilities to compete with completely different structures, like Mozilla, leave alone Google.)
Thinking that they are "Russian Google" is a self-delusion. Google is built out of talent, that they are collecting for a decade, and then by money and top-tier world-wide brand.
Yandex is mere a "company". Just compare the assets - data-centers, cables, commercial real estate, etc. Then take a look at amount of research Google's people do. This should be enough.
This browser, I guess, is something like Opera mini or Amazon Fire - the way to divert, scan and monetize user's traffic. Plain, banal scam.