Physical Rope Simulation

I haven't tried any of this, will play with it today. To be clear, I don't know if or how well any of the following will work, but they are approaches I would try.

If you think of actors as any asset that has a rig, and not just animated characters, some possibilities open up.

Rig the rope with a chain of bones in your DCC application, export it as an actor, and turn it into a ragdoll. If you want a hanging rope, I think you can exclude the root bone from the ragdoll. This is probably the most straight forward method conceptually. You might have to add a lot of bones to make it look sufficiently "ropey", and setting up ragdoll limits and capsules can be tedious. If you want some object hanging from the end of the rope like the hooks in the example, you can add it to the rig and give it a heavier mass than the bones in the rope.

Turn the rope into a cloth as a mesh asset. You can use a vertex color stream to exclude the vertices at one end of the rope from the simulation. The hard part will be getting the rope to behave like cloth but maintain its volume. I'm not sure how well this will work and it might require a lot of trial and error with the stretch, compression, stiffness, bend, shear, etc. properties. To hang something from the end, create a closed loop at the end on the rope. Add some bones to the hanging object so you can export it as an actor. Make it a separate entity, fit it in the closed loop of the rope, give it a PhysX rigid body, and add cloth colliders to it in Animation editor to try to affix it to the end of the rope.

Lastly sort of a combination of the previous two ideas. Use the ragdoll method with fewer bones, but add a cloth component on the rope mesh and see if and how the cloth plays with a ragdoll driving it. My thinking is that the cloth, possibly with the help of motion constraints can smooth out the look of the result of the ragdoll simulation.

For a fishing line I wouldn't try to simulate a rope at all. When you cast a fishing line, it flys out in a nice arc. I would try using a PhysX Ball joint to connect the lure to the tip of the pole, and enable and disable the joint as situations dictated through script. I would otherwise treat the lure as a slow moving projectile when casting. To draw the line, I would see what could be done modifying the Lightning Arc gem to draw arcs of various curvatures or a straight line between the tip of the pole and the lure depending on whether the lure is being cast or the amount of 'tension' on the line. I'd come up with some hacky way to work out tension based on the velocity of the lure.