Problem
When painting crossing paths, the new path changes the shape of the older one instead of blending into it.
Examples:
Solution
This is the intended behaviour. Blending paths by default does not make sense for painting, because you wouldn't be able to build on previously painted paths.
Crude example:
What if this is what you wanted to achieve but nothing appears?
For this reason, Path Painter paints the shapes additively and you can blend paths as needed by painting them accordingly: