He didn't waste his stat points. The status recovery was only the first of 3 rewards that he gets after completing the daily quest.
Its been 4 days, and he monologues that he got useless items like bandages and pens before he gets the key he uses during this chapter, so he's had to have gotten the random box at least 3 times. That, plus him having used the status recovery, on top of having 3 stat points to use afterwards, there's no way it could be anything else.