How does Presenter handle triggered PowerPoint animations?

Triggered animations are the key to adding a feeling of interactivity in PowerPoint presentations.

I'm building an "Engage-style" interactive slide using triggered animations in PowerPoint 2010. In a nutshell, I have a pair of Fade entrance and exit effects on a shape, which are triggered by the user clicking another shape on the slide. It's like a hotspot/callout type of animation. In PowerPoint, it works beautifully.

However, when I try to sync animations, Presenter doesn't detect any animations on the slide, but the triggered shapes are not shown, nor can I interact with them. When I publish the slide, the output just displays all of the overlapping shapes as if everything is always visible on the slide.

What gives? Doesn't Presenter support triggered PowerPoint animations? Is this a ploy to get us to buy Engage as well? I'm frustrated that I can build something using standard PowerPoint tools that apparently can't be output by Presenter.