Honeysuckle is totally invasive in SoCal too - I keep it trimmed back - was here when we got here 30 years ago. I love the smell of it around my front porch. It is a beast.
The one I posted is in a pot - I hope to keep it contained and it is only supposed to grow 15 feet. We’ll see.
I battle morning glory in the back of my property - just when I think I’ve finally eradicated it, it rears up again. Fighting it right now and to this day.
Some plants are just like that! Hogweed, Japanese knotweed, Kudzu....