First of all, I'm not going to die tomorrow, sorry
Do I need 6 Otyughs to beat False God? Yeah, I need 1-2 but having 6 helps a lot if God manage to remove them one way or other.
Do I need to remove cards from the deck to increase chances of sundial by 5%? NO.
5% - this is realy low. This is not "MUCH BETTER", this is 1 game in 20. Does it worth it? NO.
The chances of getting one sundial in first 10 cards is EXACTLY THE SAME as with 54 card deck.
But chances to get Otyugh during this turns is about 12% more than if there will be 2 of them in 54 card deck.
This is every 9 game. Not every 20. See the difference?
Will I trade 12% for 5%? NO.
My point is, that statistically there is almost no difference in 54 card deck with 6 sundials or 60 card deck with 6 sundials.
And to improve chances of drawing sundial by noticable amount you need to shrink deck to about 40-45 cards.
Otherwise, it almost the same. Big deck DOES have advantages.