"Thick and gooey" is better described as "high viscosity". Interestingly, Venezuela extra-heavy has a lower than usual viscosity for its API gravity.
Refineries don't describe oil as "giving us fits", they have an assay of oils that any given refinery is equipped to handle, and by blending one il (say, light oil) with the higher viscosiy, can create the expected density and consistency their particular setup can handle. The US GOM has refineries exactly equipped to handle these types of oils, as they were built to not just refine Venezuelan type crudes, but also the heavy and extra heavy from New Mexico. The US GOM has more of this type of refining capacity than nearly anyone else in the world, if memory serves.
And yes, refineries are also equipped to handle impurities within the assays they were designed for. They charge the owners of this oil more for this more complex refining of course, usually requiring the heavies and extra-heavies to sell at a discount to the lighter grades.