With a carbureted engine that was designed to operate mostly on the near level, off camber can cause flooding, or over-fueling, of the engine. This condition can also create a dangerous situation. Gas running out over the engine can lead to a fire under the hood. You can also lose fuel flow due to fuel pump failure or vapor lock. Some vehicles are more prone to vapor lock than others.
Vapor lock is caused when the gasoline boils in the fuel line.
This condition becomes more common with an increase of altitude. The temporary cure is to wait while things cool down. The permanent cure is to install an electrical fuel pump as close to the fuel tank as possible. If you have fuel pump problems, you might consider packing a spare electric fuel pump with your tool kit. However they need professional help to repair.