Looking at the V-day heart you linked, the “autoplay” feature is more like what I expected the “play” button to do: play through the whole construction, start to finish.
I also like the 3D folding animation for the last step; it would be nice if all the folding/creasing steps were fully animated like this. Unfortunately the last animation doesn’t seem to work correctly when I try to replay it, I have to reload the page entirely for it to work again.