It is good for your strategy to already prepare with always having 5 dices in your deck, unless you are a maniac and you go for a low-consistency (6+ dices) from floor 25 onwards.
However having lots of dices can help with the grasshopper, specifically the event that forced one glass into you hand, getting one with a 5- dices is substantially a run killer when at floor 35+.
I got to 51 (phase 6) twice and died twice to the grasshopper forcing a die to be glass.