That's right. This terrible weed that you can probably find all around you right now is an extremely prolific grower. It forms a dense root network underground which makes eradicating it near-impossible without drastic and expensive interventions. Pulling it only signals it to grow more while it strangles all of the other plants in the area. It would be incredibly irresponsible of you to cut a vine into slivers with one leaf each, dig little holes around the property, and plant them. You will cause thousands of dollars of damage to the property which can't be traced back to you and that's wrong.
I hate bindweed. How about instead you introduce wild raspberries and blackberries as they spread like wildfire and will give you and many nearby critters a tasty treat
Blackberries would be terrible. They overtake a lawn immediately and take a lot of effort to remove. Don't do that.