Have you tried it? I have and I'd say the quality is pretty close if not the same. The much bigger problem to solve now is that shaky videos shot in less-than-perfect lighting contain motion blur, which is extremely hard to remove. You'll notice that all of these demo videos were conveniently shot outside in direct sunlight and contain no motion blur at all.
I have only tried the one offered by YouTube, and not recently. I don't know if they have improved the algorithm in this respect, but for what I've seen in the past, the filter often creates a very eerie wobbly effect on the video, an effect that makes it look fake, like being underwater or drunk. It is slightly visible in the demo video if you observe the borders. This strange effect is totally absent on the link I posted, which I believe it's on a different level of quality. But I imagine it's computationally very expensive and can't be offered to millions of users for free.
