mushim ji, as you have mentioned that you had seen that wooden box covered for a long time, means on your request to SHREE SAI BABA of giving darshan, it was decided by SHREE SAI BABA that he will unveil his statue in your presence and make you feel to see it, which was against your habit of peeping in others matters.
That statue of SHREE SAI BABA was to be unveiled, but he decided to do it in your presence and it was decided the moment you started reading SAI Satcharitra. SHREE SAI BABA knew what you will ask hence, he kept the unveiling of his statue till you reached the spot. SHREE SAI BABA is magnificient in arranging time and scene for his devotees. That was the sign that he accepted your reading of Shree SAI Satcharitra.
Allah Malik