Something else entirely. Though it has leaves that are VAGUELY heart-shaped.
It's not a vine, it's a bush.
I would liken its growth habit to a large scale St John's Wort or Hardy Hibiscus bush.
For example, the knotweed, you can cut all the stems right to the ground, and the next year, the bush quickly grows to its original size with new branches.
I don't know why the big cheese I was talking to had that come to mind, I think because of the vaguely heart-shaped leaves. But it was just happened to be in the conversation of invasive plant species & problems with them, and he showed me a picture of knotweed and immediately recognized it as my unidentified bushes around my neighborhood.
I can't find a picture of mine :/ I thought I took some but I can't find them now.
But this is how the bush looks at the base:
The stems are seemingly hollow, but they have to be chopped almost individually... I do it with a hand clipper, and then with a hand branch clipper for the tougher parts.
My husband refuses to use the hedge trimmer on them, because a) most of them are beyond the property line and b) the one that's not is close to other things, and c) he thinks it could actually stress the trimmer in some detrimental way, and he sees the hedge trimmer as solely for use on our evergreen juniper bushes which he likes to trim in kind of an artistic way ... though he hasn't gone as far as making a topiary sculpture yet, but I expect someday to come home & find our junipers trimmed to look like Hello Kitty or something. LOL
From what I was told by the head honcho where I work, who has had to manage eradicating some of these bushes, it is nearly impossible to remove it by completely uproot it. It had to be eradicated in some areas with some kind of chemical herbicide treatment after having cut the bushes down to nearly nothing - this was in an area where the bushes were obstructing human use of the immediate area (and a potential hazard of some kind), and though I didn't ask about the particulars, it sounded like this was the final last resort that actually worked after unsuccessful previous attempts.
One of my neighbors last year said that she had made several unsuccessful attempts over the years to remove the bushes by uprooting. Her conclusion was that it doesn't work, and you just have to keep cutting them down, cutting them back a couple of times a year. I should specify that she had said that it was incredibly difficult to uproot them, and then the effort was all for naught.