Kudzu's threat has been long overstated. It thrives especially near forest edgelands which are always visible on highways, so concern of prevalence was partially based on individual sampling error. In reality, its presence in southern forests is higher than desired but still not disastrous (~0.1% of southern forestland), which is a fraction of worse invasives: Japanese honeysuckle (4.4%) and Asian privet (1.4%).

Unstoppable until you acquire a bunch of goats.

I would say that it's more accurate to say that kudzu is not poisonous. I definitely would not say it tastes good. It's got that "green plant" taste that you get from just chomping on any ol' leaf you might find. I mean, if you're poor and starving you could maaaaaybe survive on Kudzu, but it will be rough, it's not very calorie dense, even for a leafy green. Goats won't even eat it unless there is literally nothing else to eat. This whole, "oh you, can eat kudzu!" thing is just crunchy-mom Instagram influencer bullshit.