We see some signs of this with the chrome headless project and with the fact that Chrome, masquerading as a mobile viewport, can be used as an effective mobile crawler, even when the mobile UX is provided primarily by JavaScript.
I think they still use a plain HTTP request based crawler for "most" sites (mainly for speed), but then flip on Chrome-based crawling for popular sites and for sites that seem to be JS-heavy. I see no reason why, long term, Chrome wouldn't become the primary crawl/render engine for Google.