Looking through a book of proverbs can be a great way to trigger story ideas. It is also useful when you've written a piece to look back through it and see what theme emerges from it that you hadn't planned out. I suspect a lot of the time what you come up with here will link in with a well known saying. Why?
Because we write from the depths of our soul and our life experiences will come into that. This will include things we read, things we have read, things we know to be true or things we know could be true. Proverbs and sayings will have affected us subconsciously over years too. Some of course we will have had direct experience of and so know them to be true and so could write stories on these based on our conviction they are true. Proverbs and sayings will influence how we think and therefore how we write.