In my hippy puget sound part of the world, we just mow to keep the grass short but otherwise let it do whatever, usually turn brown and be filled with moss and clover. We started to aerate because that helps runoff.
It's much easier to tame a yard in a climate that's cold half the year and dark 3/4 of it.
Seattle sits right next to the only temperate rainforest in the world, though. The sheer amount of plant life there is something to behold, and it doesn't get cold there all that long.
See: https://en.wikipedia.org/wiki/Temperate_rainforest
You might be interested in the section "Global distribution".
We would have the same mess if we didn't mow. Things grow like crazy for six months here