All paths point singularity-way but a cone will also see a false image from in falling photons. That cone will get smaller the further in you fall. That doesn't mean you aren't pointed at the singularity, only that some photons are going faster than you. It's like saying that because some traffic on the highway is passing you, you're actually going backward.
All paths inside the event horizon lead to singularity. Full stop. This is reinforced by the Penrose diagrams you mention.
All paths inside the event horizon lead to singularity. Full stop. This is reinforced by the Penrose diagrams you mention.