I think that looks a lot smoother, yes!
I'd avoid words like "right" with things like this though, it's largely a matter of [does it achieve the look you want?] rather than right or wrong.
At this point I'm nitpicking, but here I've marked in red two pixels you may want to reconsider the colours of to get some smoother curves. I leave it up to you to determine which colours they should be as an exercise.
I think these two pixels in your piece show a possible misunderstanding of AA, so I wanted to point them out to you. Since I don't know exactly what shapes you're trying to achieve, my interpretation of your lines and curves could be wrong, and these two pixels might be perfect as you have them. So, take a look, think about them, and make a decision based on what you want.