You’re looking at a version of the Meyers’ book from three versions ago, whereas the Help section that you’re pointing to is for After Effects CS4. Some things have changed.
If I understand correctly, you want to change a paint stroke after you’ve already drawn it. You’re correct that doing this isn’t immediately obvious; I don’t think that it was an intended part of the feature. But, because people often like to do unintended things, there are workarounds.
The one that I’d use in this case is to copy the paint stroke’s Path property and paste it into a dummy mask’s Mask Path property (or a shape’s Path property). Then, I’d edit the path as I normally would for a mask or shape. When I was done, I’d copy the Mask Path (or shape Path) property and paste back into the paint stroke’s Path property. Then delete the dummy mask or shape.
Animating paint strokes is really more intended for the workflow of painting a new stroke for each of the key frames, rather than tweaking an existing stroke on each key frame.
If you’re interested in drawing in this way, in which you can control the path more directly, I recommend checking out shape layers.
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Todd Kopriva, Adobe Systems Incorporated
putting the ‘T’ back in ‘RTFM’ : After Effects Help on the Web
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