Then explain how I can put the paint and have the symbol on the http://fallout4.wiki.fextralife.com/file/view/T-45_Minuteman_Paint.jpg/567447241/T-45_Minuteman_Paint.jpg look similar to the http://vignette2.wikia.nocookie.net/fallout/images/2/2a/Commonwealth_minutemen.jpg/revision/latest?cb=20151119172108 long before the player has actually seen the flag?
This is illogical and does not belong in my game. I will represent the minutemen every time I go to help a settlement and mention the minutemen.