No, Syria wasn't invaded by NATO - instead, NATO poured, and continues to pour oil on that fire, because instead of making the situation better, it would rather fight a proxy war with Russia.
Despite our best efforts at supporting the rebel groups, and bombing Assad, he's still in power. Given that, I think it's reasonable to conclude that had the conflict been left to resolve itself, he would have won fairly quickly - or at least, by now, most of the country would be under his control, as opposed to a five-way horror-show. We'd also probably be seeing a lot fewer beheading videos on Twitter.
NATO's perspective on the whole conflict, start to end, was not humanitarian - but rather as a question of "What can we do to stick it to the Russians, and topple Assad?"