They are hard to yank out, got a pretty long tap root and if you don't get it all, it will come back. I always seem to just break the tap root root.
But yea, are far as lawn "weeds" go, they come and go pretty quick. They do self seed like crazy though, so if they do bother you and don't do anything, they will only increase every year.
Obviously we have a large dichotomy toward lawns care on here of full on natural approach like you, and other end of spectrum of full chemical. I dont think either side will ever turn the other...lol.
I try hard as possible for a hybrid approach doing as much organic as I can, but still some spot treatment when needed and some fert.