If I have to manually create a "clipping path" or cut path around a photographic object I'll often create the path in Photoshop.
I prefer the keyboard short cuts with Photoshop's pen tool. Illustrator's short cuts are slightly similar, but different enough to cause problems.
With Photoshop, you can use combinations of the Ctrl, Alt, Shift and Space bar keys to adjust vector paths while you are creating them AND be able to zoom in/out of the artwork or hand pan across it all while you digitize the paths. I can execute those keyboard short cuts with my left hand while using the mouse with my right hand. None of the dedicated vector drawing programs do this. Not Illustrator. Not CorelDRAW. Freehand didn't do it either. Deneba Canvas and Micrographx Designer didn't support those sorts of short cuts. Only Photoshop. You can create a very accurate clipping path or cut path pretty fast.
Photoshop even allows you to do some basic welding and cutting operations on paths too. Finally, the vector paths in Photoshop are placed in pixel-specific areas. There's no slight, visual shifting of the path taking place like what can happen with paths traced over placed photos in CorelDRAW or Illustrator.