Servo is a modern, high-performance browser engine designed for both application and embedded use.
Sponsored by Mozilla and written in the new systems programming language Rust, the Servo project aims to achieve better parallelism, security, modularity, and performance.
EDIT seeing Etzos's answer, I see better what you meant (de-facto "standardizing" around electron). positron looks like a better answer then. But long term, there's clear interest from Servo developers, see http://blog.servo.org/2015/05/01/forward/ and Ctrl+F for "Chromium Embedded Framework"
There's a talk about this at https://air.mozilla.org/bay-area-rust-meetup-february-2016/ (HN discussion: https://news.ycombinator.com/item?id=11175258)
browser.html is just the current "skin" for Servo.
- At 03:00: pcwalton explains how this experiment leans on the GPU-ization of our Intel CPUs since Haswell.
- At 14:50: slide says "WebRender supports OpenGL ES 2.1 and OpenGL 3.x"
- "Benchmarks" at 26:00 running on his macbook, which may fit what you are looking for
TL;DR, yes this early work is for "integrated graphics such as those in normal laptops". Or try it yourself on your laptop with a nightly build: http://blog.servo.org/2016/06/30/servo-nightlies/
Software rendering makes it choke sometimes (other times it works surprisingly smoothly, but it depends on the load), but that is to be expected :)
Positron is indeed the thing you are looking for.