Nooooooo......
From the letter from producer

Regular mark bills will have you exterminating enemies commonly found around Eorzea, some of which may include bosses from FATEs
Why must fates be included in everything? Had enough of this with the book fates. Standing around for hours doing nothing waiting for a fate to pop. Was hoping the daily hunt would be something that could be done fairly quickly each day. Hopefully these arent too common. I know I'll be dreading them each time i get one.