One example is Musk Thistle. It grows extremely rapidly, reproduces at a rate that's unbelievable, and is very difficult to kill. In this heavily farmed region, a few of them growing in a roadside ditch can turn into tens/hundreds of thousands of them within a year. Not only do they outcompete just about any other plant including crops, but they have incredibly sharp barbs that injure livestock.
In publicly owned spaces or abandoned fields/lots, the county has people that searches for them and sprays them with a herbicide. If they're spotted on your private land, usually they'll notify you that you have X days to cut them down (before they flower and seed) or they'll come do it whether you want them to or not. Some counties will send a bill for this, some fund it from property taxes.
If you haven't lived in an area where they vigorously grow it sounds like a huge overreaction, but left uncontrolled because one neighbor isn't taking care of it, it can become impossible to keep it out of your yard. According to wikipedia, a single plant can produce 10,000 seeds that disperse through the wind and remain viable for decades in the soil. Even the desire to not have a painful rapidly reproducing weed in your yard aside, they can do incredible damage to cropland.
It's a shame though, it's a kinda pretty flower. Imagine a vivid pink sunflower.
Scotch broom seeds will also be viable up to 30 years.
Not that I'd ever want an HOA again, but that was nice and your experience isn't canonical.
Who else is going to fix the roads? The county and state aren't going to, they don't own it. We seal the asphalt every 5-8 years and repave every 15-20 (I've only lived her 10 years, so those are very rough guesses).
That's not a given. I live in a non-HOA area, and everyone on my street has trash collection from the same company on the same day. Thursday night, we set our carts out. Friday morning, we bring them in.
There's a wide middle between HOA bureaucracy and pure chaos.
Wrt weeds, I suspect you are simply unaware of all the maintenance tasks your city does. Consider yourself blessed!