Hi.
“Looks better” only works in regard to justification when one is admiring a page overall. However, that's not how people actually read text. They look at words in lines, and at that time uneven spacing keeps tripping the eye up. I know this argument, but there's no way around this discussion, and that's all there is to say about it (so far). Nicely looking bricks of paragraphs won't make the eye glide smoothly over the holes.
Page layout programs spend some CPU time on fiddling the hyphenation until the spacing is even. Browsers can't afford to do that, afaik (not sure about currently, but that was the situation a while back). Moreover, from what I vaguely heard, the HTML specification defines paragraphs in such a way that browsers don't even have the freedom to fiddle the paragraph height—something about the height being the minimum for the text on hand, or something like that.
Even if you insist to keep justification on desktop (though I personally can see the holes clearly)—for the love of good, please disable it on phones. It's just a mess there.