Ascending Heights doesn't yet have a daily, like Chest Hunt and Bonus Stage do. However, for the other two their daily isn't a "perfect" or "complete" but instead "chests opened" and "parts completed".
I feel like a simple "Complete Ascending Heights" would be a departure from this, and having the goal instead be "collect orbs" would not only keep the daily accessible to all that have the stage, but also add a nice additional variety.