I agree. I long rested after each combat so I was prepared for the next encounter. In normal 5e you're only able to benefit from a long rest once in a 24 hour period. You can short rest as many times as you want, but can only heal a number of times equal to your hit dice.
A tired/exhausted status can be added to the game to show when your characters can/need a long rest.
In addition, by removing food, we can add more healing potions as loot on humanoid creatures.