Imaro
Legend
I don't see how the priorities can never conflict.
Skilled play (whether in resource management and resting, or more generally) is about optimising the prospect of victory at minimal risk.
Stories are almost always more interesting when victory took effort or required luck or came at some sort of cost.
But if the players have "earned" the right to a long rest... I would assume there was effort and luck and perhaps a cost. The problem I'm seeing is this is resting all of that on a single encounter as opposed to the entire adventure.
If we think of stories in terms of war stories - eg the players recounting how their clever play let them beat up Strahd without even needing to use a healing spell during the fight - then I can see that there is no conflict, but I don't think @Manbearcat has those sorts of grognard let me tell you about the time we beat Tomb of Horrors stories in mind. He's talking about the actual story that unfolds via play - the rising action, climax, resolution of the fiction of the game as it unfolds.
Again if we are talking about the story that unfolds via play then we have to take all of it into consideration.