I would be concerned about how strong that lattice is. These vines can get very heavy. They could topple the lattice. Maybe make sure it is reinforced.
Badger is right. The beans do have an impressive root system.
Also, you have your plants inside your house. Make sure you harden the little seedlings off before setting outside or you will lose them.
I planted scarlets around my gazebo last year. Very cute. I also have the glories and moonflowers there which come up every year. Hummers like any flower they can stick their little beaks into.
Assumptions do nothing but make an ass out of u and me.
We can stick our heads in the sand for only so long before it starts choking us. Face it folks. The pet population is bad ALL OVER THE WORLD!