Think of an octopus. If you cut off one tentacle it will re-grow.
Then think on a larger scale, maybe Medusa combined with Hydra.
You can cut away any part of the trumpet vine, but it all grows back.
The trumpet vines are beautiful, hummingbirds love them, I love them, but they do require a lot of forethought when selecting the planting location, need a very strong support, and a lot of maintenance work to keep the plant in check.