There is no best chicken. It all depends on what you are wanting in a chicken. However if egg production is your main priority, those three, along with Red Sex Links, are the best layers in the chicken world.
This is the reason that laying houses use White Leghorns for producing their white eggs and Black and Red Sex Links for producing their brown eggs. According to Murray McMurray Hatchery, which breeds hundreds of sex links every years, there is no difference in the lay rate of the Black and Red Sex Links (https://www.mcmurrayhatchery.com/faqwhichbreedlaysbetterredstar.html), but in my own personal experience, my Black Sex Links have laid slightly better than my Reds in very cold, winter weather.