Would it help for Bitcoin network if i run 1 Bitcoin Miner?
I am thinking about supporting bitcoin network.
I know that we have businesses who runs thousands of miners, to earn money, but i don't want to earn, i want just to support Bitcoin network and i wonder do my contribution would help, or we just need leave all the work for big miners?

Last question, would 1 confirmation time - 20 minutes would be the same if every  Bitcoin user would run atleast 1 miner in home?