I'm not a fan of "draw inside" due to this.
In my experience, for optimum results Clipping masks should never have a fill or stroke assigned to them.
Draw inside will often assign a fill to the clipping mask. This creates a unnecessarily complex shape that may cause issues upon output. That is not to say that it will cause issues, but it can. So, I ...
Swap fill & stroke of hatch-lines before doing the pathfinder-crop job.
i've posted my answer on
I call it "pathfinder-crop method".
Check also Vasily Hall's scribble method, very original.
Hope it works for you.