You cannot be attacked while resting at the moment. Therefore getting rid of exhaustion - which doesn't exist yet - does not add to the game yet. Usually though it is part of DnD that you have to make due with what you have until your next rest. Without being able to return to a save haven at any time. This is the reason why you have very powerful spellcasters compared to other classes but once their resources are spent, they can do little but use the cantrips or items. Or scrolls, it doesn't look like any spellcaster is going to run out of spells any time soon like this.
Once random encounters are in the game, I'm sure people won't press the camp button while being surrounded by enemies as you won't be able to do so hopefully. Also people have to consider not completely powering themselves out as an attack could spell doom for the party if the spellcasters are completely out. But this makes it exciting.
I don't think most people will rest for much longer than one week in the EA map, which is still a little long but it makes sense for all the content made available in the EA.
In Baldur's Gate your party is constantly exhausted because of haste but nothing every happens as there was only one level of exhaustion.
