I notticed (and checked ith calculations) that Dragon's Fortune: +111% per on-screen cookie apply to the Lucky calculation right in the moment you click it. So... you have Frenzy: x7, then second cookie show on screen and you have +111%, then you click the second cookie to get Lucky (mostly) and it calculate CPS x 7 x 2.11 x 900s = 3.7 hours of production ...it really works.
Since late game is about Frenzy-Lucky, it is actual x2.11 buff to production, in very late even a bit more than the x2 Radiant Apetite aura from Prisms.